If you solve 100 objectives then nothing will happen If he asks a question, you will get to know it There is a guarantee that if any question comes, it will be 100 You will get your number from the objective you will take it but today's class behind this If you haven't done it, then today you will be able to understand it. There will be a problem now when it comes to the rear How will he conduct offline classes or not? So it's not like we can turn back time now There was a time when I can never give up Do you know that he had done Bajrang Bali or not? Bajrang Bali has once again turned back the time I did it, I don't know, listen, it will take two minutes Dwapar: Before the Dwapar era came Ram ji took samadhi in water. Bajrangbali became so upset due to separation that Treta Yuga begins with turning the mace upside down yes the Treta Yuga has begun what happened now Time started going back, all the time back which was big It started getting smaller, it felt smaller, what happened in it Whoever is above is like God, he is my father what will happen will it be ruined or will it be completely destroyed Meaning the earth will be destroyed how can we go back If Bajrangbali is explained then He brought us back to where Dwapar Yuga started We are not Bajrangbali who were We will bring the offline time for the day but This is the benefit, we have made a video of it Now if you make a video of this then it will we are providing the link of previous video I will put it in the description, you will see it That's why today you have to prepare for 100 objectives. You will understand very well what you are doing We have taken a lot of time, now let's go one by one What kind of objective questions do you get? He will ask, let us give the first question, see These take it Differentiable go within the limit of 11th class then within the limit You must have noticed that this D body is not a I have written it down, remember this is the limit formula Here a will be tensor to an x to the power E then you can write its formula directly Power A to the power A might have happened A too Constant A Constant Total Part Constant Income Constant Differentiate 4x as a differentiable value He will give his option, I will give you the option, not you If we are giving you then you will pay attention to that I told you about this in the previous class When chain rule is made on function of function I will give it but I gave you an idea, I will always remember it Keeping ex's respect makes a difference So whatever is multiplied by x Do I need to multiply it outside or not? Tell me what will be the answer, you will see x with four multiply by 4 take out 4 and sinx-cosx be it Bihar board or CBSE board I will ask, I cannot go outside of this So let's see how you will make this here whatever formula you have read for log, log m to the power n then this power goes forward then We can write this as 4 log x Clearly, now you will write out this constant. to lag x ba d you need to remember the difference of a log x 4. I told you this in the previous class Let's take question number four. Question number If you accept this, it will give you d e to the The power of -3x is differentiable and only Objective and you will learn this objective, right? So the questions that you will give are very subjective It will be easy in the last class and today By doing this class you will get 5 marks If he asks for the number also, then we will answer it What did you say to this then, respect for your ex do difference with x whatever There will be multiplication, write it down first Now say e to the power of x the difference e to the power the power of x is e to the power minus 3 the difference of ex e to the power minus Let's take question number 3, this one also will ask san x by f ka to be differentiable then the same thing happened with x multiply by 1/4 multiply by 1/4 Now let's exclude the x that is the x so what will happen to sa x ba 4 ka x ba 4 Put a tick on this option, what happens in this option There is a similar question, this is the answer Don't get confused, become like us you are trying to understand it, if you don't understand it then You should ask in the comments and now everyone is a man So if you ask me here, we will discuss it I will tell you, let's take question number six I give you question number six. ten square one ba d one take out say now I had taught it in the previous class whenever in differentiable there is neither is there nor is there but neither But the power of x can only be one when it is one. write differentiable squares but it When the power comes then this is x to the power n If it works, he said that it is ten square here when When power comes, we respect the base if you cover the power then the base t x is So you will write d t x now this will go to ten x I told you to write by copy pasting above Now you will see it here but if it is there then Pay attention to the respect of the angle it is what was the difference of do x square 2x So what will be the difference of t square 2tanx clear and t of x Differential was asked, look at the question number give seven d1 ba one The differential lag is x and the lag in the option x will also give you that trick of mine That would be correct, no, what was there Integration happens and here I am asking you Is Differentiable I gave you the formula, get used to it, it is very This is an important thing, see how you put it We developed a formula that says x to the power of n are differentiable by n one to the power n - 1 Now if we assume that this is x to the power a If it comes down then bring it up and If it takes time then make time on the process If you need it then we will tell you the technique is that x to the power something if the bottom if it is there and there is one above then how will you make it direct Look, this is it, so write minus A and increase its power, It is very important that you increase it See what the difference will be x to the power v then you will write human and one Power raise a similar question like this Look and Bae Access to the Power Cube If the differential comes down then what will you write? is it the power of -3 then raise it to the power of x But Power 4 asks all this or has anyone asked this? No question number at any question in any year Look at number nine, this is also a lot of questions it is important log k x Differentiable Tell me if you understand then you will not understand me Saying we are not understanding, pay attention how to make direct log of x Differentiable of c x Differentiable is it or not come now what happened people come now of c x Differentiable Since there is an objective, then the objective type we are making people from This is also a very beautiful technique, direct But the objective option will be when the value Well this is subjective so you'll have to make a copy The way to make you a checker You will see that this is objective that's why we wear such shirts look at the question made in it, will it ask like this and then he will say 5 x to the power minus v co different now look what is written x to the If power is minus then power is negative if we look at this, five is a constant Let's take this out x to the power mive We can at least write 1 or 1 and what can we write about this now / a If I tell you, will you let me stay here -1 ba ek S-5 Ba Ex Clear One Question 10 If this happens, first take a screenshot or write it down Baad Again Next 10 Now see how will you solve question number 11 11 in give such 5 to the power x our d ex Remember the formula for a to the power of x tell the class behind you if not If you read it you will find it a bit absurd type will look awkward type will look previous I need to watch the video or it is offline So So you will have to see the copy A to the Power X the difference of a was always a to the power x So 5 to the power of x is the difference of 5 to the By plugging in the power axe and the base put a tick in used to multiply There will be question number 12, it will give you 3 to 2 The Power take this out now look here we what will you do, you must have read it, take it to the power a alg a so we'll write this as a lag 3 Clearly, 3 is constant, so constant is constant. We used to throw people out so he survived d a body a d is a body a If yes then the answer is given, tick in log 3 If you ask question number 13 it will say d cy memorize to under x We will move on to the differential, let's look at it first Both methods tell you how to do it on chain rule how will you do it with x Differentiable Gaga sa x ka ka x to rit x ka kos rit x now let's rant about x so rant about x we I told you to copy paste it, Batu Put a tick in it or you can make it like this Learn this from Chan rule sign rate x we are I had told you that there is power one on the sign so its The angle is his respect by revealing this I am telling you again because of this rule it is on top will And in the route one, we had told inside the route respect for what happens and when one If it comes then the chain rule stops now Say the sign, memorize one, respect one psy x's respect act sign rate x ka rate x ke respect kas Rat X and remember this always 2 Rat A The trick is to apply this option in the question Look at number 14, I have given you D in 14 find out you d root quote x ba d one this Solve it and then make it using chain rule like this This is not made, it is objective to make it in rough so consider for d root cut x what we He said whenever the square root comes then the root This root quote is for the one who has respect for him then the quote is on x Respect now to those below the chain rule copied and pasted above and it's here now trigonometry so how much power is there on coat one so whenever the power If trigonometric function is one then its Angle's We repeat our respect again So that you can remember it now in the root What did 1 Batu say and we will copy this and paste this What will happen to the coat now? do you know what happens outside cc1 100 runs outside of what we're preparing Just imagine what will happen if you do that You will have had so much practice that If anyone goes outside this then he too becomes you You can, this is my claim, if not so keep making this now question number 15 what is there in 15 such question is 1 by sa x ps e to the power x what we did Some important questions to be answered in advance Have you selected the question and written it down? So this is done, now make this and remember it I told you in the previous class that whenever If any ray comes in between then a plus comes in between differentiate the two separately and Have you studied trigonometry bye cy ex what have you read cosec x have you read that no 1 ba cy one we wrote cosec one look there is power one on the Cossack so the angle is this is respect for that 16 question number 16 look, it will say D sign evers rate x plus cs evers rate x bydi one find its value now come now come here Gaya ITF Evers Trigonometric Function Then we can write Evers' trigonometric function as By the way, this video of mine is already made. I have read it many times offline, remember it Remember this formula for now Not Always Sine Ever X Plus Cos Ivers X E Pa batu ye sek ivers x plus cosec inverse x i pi weight and one n ivers x plus cot ivers x i pa what will you do then you will speak in objective Now write anything in the world in place of 'look here' If he gives the answer then it will be Pai Batu only, now memorize it write x or e to the power x anything Write these two, if they are same then the answer is Pa Batu, if you remember this formula then Think about it, what will happen directly what will happen to pa batu and paai batu The constant is now pi divided by the constant then the difference of constants is zero There will be a clear question like this Look at number 17 17, another question came This limit is when x tends to 0 and 3x differentiable then what is the rule in limit that If we remove the limit then instead of x It writes zero when the limit is removed If you write zero where there is one, you get 3 in 0 That means the value of 0 cos 0 and then that means this is the whole The value became the differentiable between one and one You also know the difference between these ITFs I have written and sent the photo to him as well You can see that ten times x is the difference. is 1 p x squa clear question number 19 See what will happen, question number 19 will say D So this will happen some year, maybe in 2021 or 22 What difference will it make whether you asked or not what do we say, whatever multiplication with x Write down what happens and what about x it happens to be square you will write one here of ka to square x then n of eq of ka to the 1 and the last 1 of the square are here you will see it in 2020, it is written like this Under What will be the value of x? Tell me then observe what does this root mean x to the power half so to explain this to you we I will write it down if you want to write it. one to the power is it half or not will you write x to the power half and if a to the power a is added then a So the half will go back first and it will look like a If the difference of is /x then the answer is will go 1/2 one now take this one next then 10 I am telling you again and again that They are giving 100 objectives to anyone, right? You don't get more than this even in the sample paper This will happen, it is guaranteed in the board exam Any 10-15 of them will ask if you don't study. yes if you don't see my objective then You will regret in the examination that you wish you had seen it Now let's go to question number 21 will say d s sin2x will give a point d in the objective So what will you do here double Differentiable [music] So consider once when the differentiable Take out the multiplier which is with x Do the sine of one Differentiable That's it now here's d cos 2 x over d one again think of it as x multiplied by two then Multiply two out and it becomes 4 minus x here you will write minus 2x and You will put a tick in the option -4 cy 2x this tick put clear question number 22 this also This is the best question ever asked in a year 22 will say b to the power x my a Differentiable ask x p then what happens you read It will happen that if any power is minus then If we separate them then we divide them or no, if there is a problem then make it like this can you see we make it to the power x - a remember the power that is on e Do you respect me or not and then say copy this one below and click on the top Paste it anywhere clearly no problem tho If the exposure is minus in the middle then I would have told you If we differentiate between the two then The difference between one and a constant is zero That means the answer is e to the power x my hum let me give you an idea, it might be this If you don't give it in the option, give this instead could e to the power x bring e to the power a Why because when the power is minus then Division is clear question number 23 Let us take one, this is also most important the question is, say d rate under x s + a one + 1 on What did we tell in the Differentiable Chain Rule So the questions are given here, questions like this It will be written, now how will you solve this And if you tick the box, you will see the rate under x s + a what did ek+1 say what is on the extreme left is the square root now say the root under which But it was out of respect for him that I spoke about. nor it is passed on to the person below through chain rule copy and paste above copy paste The pen should not stop, write straight and this also We had told that whenever there is plus minus in between If it happens then we write DX and it It works on addition rule, now let's look at the root I had told you to write down the answer, Batu, and this copy and paste it straight away Clear Now speak of x [ __ ] differential and a of x He said 5 of x 5 of 3 of x 3 of x a and the zero of the one constant is in this Put a tick in the answer box of your type Let's take question number 24, assume this will say log one to the power n [music] Differentiable Differentiate x 1 ba x n ba x tick in this option You will ask question number 25, let us take it here let's take question number 25 will ask e to the Power Cos x equal to wow how will you make this then it comes back like this It will be a practice and not a subjective one also the question cannot be made easily now see how to make e to power k x exposition What did I say, whoever has the power, he has it Respect means by putting D on it and put it below write I will give you and copy paste the below Above Now we will write this trigonometric equation Sometimes we explain the function completely I am telling you so that you remember, right? So look, he said that whatever trigonometric function, if power on is one The angle which he has The respect angle has arrived, now if one more comes then it will be rule stop now let's see what happens to this e to the power of x to x is minus cy x arrange this then this is you tick in the answer Placement Let's be clear, write this down first If you stay under my protection, life will become Let's get clear after question number 25 We take one 26 This question was asked in some year is cos e to the power x by d ex i tick this let's see how to make it and one And let me give you the idea which we had discussed some time back The idea was given to it in the first general way like It may be possible, you can ask this number also But in the objective it is asked how will you make it Look, whoever wants to make a difference, write it down Putting it on the far left is the cos and power on the cos If it is one, then the angle of cos is total of the same Respect is clear then let's bring it back up Now you will write this in the term 'extra' if it has gone or else it has come in the term of log then the log in which it is attached respect then it will go up to the power x I have arrived Exposition Respect and what will this be chain rule stop will it happen or not now let us tell you the answer x Of differentiable my my sa this is what it is Write, don't be afraid of what will happen what will happen to it what karma it will happen that he is telling the next one so like this it is like that, take it off and what happens to the log 1 over x is then log e to the power of 1 over x Ba e to the power x and e to the power x of e to the power x this cancel answer this is in this Tick put it clear yes sir will you pay attention to it now We will tell you a little in another way Stylishly because objectively The question has to be framed in a stylish manner how will you make it so look from left to right keep walking you will go from left to right Look what you will write directly, tell me about the curse Differentiable e to the power log of x / x is its vector power is back on e power of ex on e power x answer minus sign lag then objective People make it like this also but more Not driving at speed is a matter of exam If you go at speed, you fall somewhere and your number is lost We need to pay some attention to this as well or not It's our habit so let's do it Question Number 27 27 We accept you this much and this too the question is asked and x [ __ ] quote evers rate Ecco Ewers x then quote everts x is differentiated into a square so we can calculate x Respect the squad then you will write this x square on top so now This is the form of x to the power n The first formula that was written was x to the power n So the base power constant is then the base power constant respect d one has come chal stop now remember Quote of Ivers x That is why this question was asked differentially In a hurry, he will do wrong x I want to write the square of square, clear yes sir and you will write 2x of x square -2x over x Is it two power 4 or not then question Number 27 Question Number 28 See Most This is an important question, look I have made it thick what is most important to him is that differentiable of yedi sine square one Let me tell you why it is important here If we solve this, we will find sa square x Differentiable respect to but when the power is two it's x will go into to the power n type then If respect is for the base then who is the base then power cover it what is left is the base then write this on top two sa x now you will see the sign has power one So whatever the angle is, respect that here now Look at sine square x or x squa x squa difference of 2 ex Difference of sine square 2 sine and sa ex what else will ka do x in your option Whichever option it will give, in that four option it will remain He won't give up his life, will he? The formula for trigonometry is 2 cy in If you have this option then you would be losing. If you go to the question, the option will be 2x This will not happen so this is the most Important question comes after 28 29 29 see one question most it is important closely plus n to the x Differentiable se x psion Now let's come to what you said, it struck everyone The left lug belongs to the one in which it is applied respect laga kisam laga se xps n x I felt that's why Respect sometimes comes in second number also He asks in Bihar Board and CBSE will ask in number one now come this will go up d se x pt x what did we say in between when If any operator comes, we will unite them Here is the plus operator, so addition Rule means both are different Differentiable in place of x this is se p n x lag of x difference n ba x to lag se x psion of x Difference by Exponent difference of x from x clear x from x Inn square root of difference of x and n do you remember the formula some things have to be done ourselves now let's go take x as common to When you take the common from low to one then it will remain here n x ps to x now see what these two do It will be cancelled and you will see the option Do you have to tick that or not or this If you want to write then Write question number 30 Look, will you write something like this? [ __ ] find this is the question find d wa body a At x i r e t under pie y b h i question y Maybe in 2022 Bihar board will ask this make it so first thing we will do is d body one If we take it out, we make it in solution look carefully understand y is a unique point You don't do it for long after practising so much The question is whether it will be made or not, or if not Let's do the difference if it is dy1 then respect to its angle then this will go up and the power constant is So the base Respect and body are of one person only/ x lag cos of 1 by cos x If the square cos has a minus sign then We will write the angle which is the minus sign x square has 2 ax tova bydi one ict this look minus 2x san ba kasan x If it is possible then he will ask this also sometime but Now what are you asking me at x i rat pa That is, after subtracting d from d, now the sum of x We have to input rote pie in place If it happens then I will write t x i rate pava body is a i-2 rate where x is Let's just memorize it: if x is square then root of pi Remember that the square of ka is pa pa ji neither live nor get zero it will be completed minus u rote pi into zero i.e. tick in answer zero You will apply it and you will notice this option also You will get the answer by putting pie here He will come directly and write it, don't get confused do this answer yes,look at some shirts too I you remember it like this if write de how do you write this ex to the power this a Isn't it A and Bye, whatever is here, A is here so bye a remember this related to this Question number 30 will also ask the difference Like we would say d cubic root of one Differentiable So look here, there is a forest here right? you'll write x to the power 1/3 times d one now this is I got you in the form of x to the power n if it goes then you will write 1/3 in place of n and this 1/3 is -1 If you take 1/3 ex to the power as LCM then - 2/3 If you want you can send it down also or This will happen in the option or else this will happen now come on like question number 31 will give d this This way we will get the fifth root and x to the power of 3 will give it to If we minus the differential then it will be 3/5 and this If you take LCM then - 2/5 make this also below can you sell it see question number 32 in 32 It will be like this, you will say bye this cubic root x square now look here it comes down It has come down, first decorate it, then you will write 1 Ba x to the power on this formula these 2 Will you write ba 3 or not and d is one of these Now when you send it upwards, then this power will When this x goes up then the power will go from positive to it will become negative this will happen then this You will also see X to the power in the form of A here you will write n x to the a Ace to the power - 2/3 -1 here now - 2/3 LCM Loge - 5/3 Or if you send this down also then it will be like this will be -23 one to the power 5/3 or so if it is in the option or not then this option will be there Now let us solve question number 33 in this, y will be given. Root under one minus cubic root x find d ba d ak will say find d wa ba d ak it's simple d wa ba d take a look In the root one, a special case has been mentioned Is it there, we will make it on that basis 1 There is no need to say this tell it many times and it will happen 1/3 d and d and ba d in one ive root Write 1 baht as told and copy paste this We will give it, it has become simple, now it comes here given in the form x to the power n then what If you do it, you will write the power and if you do not do the minus, then This is d or d = 1/2 memorization and this If you look at it, x to the power of 2/3 is d. ba d a e 1 ba 2 rat a minus this if If you send it down then the power will become positive Pay attention to all this, there is some question or the other There is a guarantee that he will ask the question or not number 30 3 followed by 34 is a question which I asked some year rate under x + 1 bar rund x ka hole square this question is also In the objective it will ask what to do in this This is power two so whole square of a p b So you know if we use it on that then it will be easy if it is made from a then what will you do with a p b Square then a s + 2 * a * b hole of p Will you write the square like this or the equation of x Always remember that a square is a Both will cancel out and it will be 1 by x Now I have to find the difference between the body parts equal to in the middle said in the middle when plus Everyone will have different differences differential was mentioned some time ago when If it stays down then it is in power here But the power of one here is -1 raised to the power of one. give this dydekop.org If you differentiate this, then see, you will do it here then you will notice that there is a function in the middle so both to different The difference now remains /ext is 1 by x Differentiable d one i a this has been said repeatedly 1 ba ek what do you see if there is power on x then write myve and raise one down to the power and this is w ba a d a The body is always one, if you write it down then this done d wa body a e my a ba x s Pw Ba had asked this question a year ago 36 look this is it a ba a p x x ba a to the pa I have given you the power, give it here, then what? You will do it because there is power two so easily Expand the hole of B on the square if you can then you will do this y e a [ __ ] k This will be in the form 2A, this will become B plus the whole square of b will become y = a s ba x s look here a a cancel x ex If you cancel this, then it is saved, this is the power, right? So give x a power and give a a power now Different The differential becomes 1 / x dx2 Always remember that any constant Differentiable what is dx2 dx1 ba look at the dx8 s is on the same process here when If the power was one then write -1 whereas the power is two So we write -2 and raise it to a power Constant's differentiable x will become so this dydekop.org Or consider if it needs to be made into a chain if it has to be made as per rules then who Differentiable there is respect for it and then it goes up I have told you many times, now bye one it will happen now notice when sa was a d one then If you used to write x then what would you write for 8x Also remember 8x and 8x is 8, also remember 5x is 8 the difference 5 6 of 6 x 6 8 of 8 and multiply it by We will arrange it and write that 8x is also like this There is a question but sometimes we say were told again and again that the sa a by d one write two rules one with whatever there is multiplication, remove the sign What is in direct objective like this look at question number 38 it will be given in 38 You don't need a cube differentiable to what is this question that otherwise see how to make d ba d a I wrote down what I said to the one who wants to differentiate I wrote this by putting d now it is on the left What is it, it is not there but look there is power one when Any power on any trigonometric function If there is one, then the angle of it is Respect, we say all these things many times I am saying it with all my heart so that again and again Understand it and then I will write the bottom one above it. now bye now look here it comes x to the power n bye d one now look this d wa ba d one happened now What did Angle's respect say here? if so then why There is a differential, just wrote it down and it's done 3 x [ __ ] doing the same thing over and over again By repeating, they are telling us to make it objective Any one of the 100 objectives is guaranteed the board will collide with it in the cam will collide come on question number 39 39 look this que look very beautiful exes cube wa on the power phone 2 x ps 3 wa to the power 7 you will notice this type of There are five questions asked in Lung in 2023 if there is no number then it's lung kay then lung kay When you make the video, we will make it I will give this type of question sometimes In the objective also it asks you to remember Its If he asks in differential then but long When I got 5 marks in Bihar board If he asks then he will have to make it for him when If we make a video, we will tell you in it We will give you the board model question, how is this If it happens then see how you will remember it do it here is power r here is four both of them If you do plus then there will be power consumption We have to understand this, that the power of both is balanced here if and inside this base anything is yes it won't make any difference so the answer is y or x It will be the same as for example suppose question number 40 will give x to the power a y to the power b Eq to p a - kva to the power a + b dydekop.org These two powers and these powers are also plus to both It is written here, that is, its answer is also d wa ba d will write the same sorry y ba the same will write one question see 41 which is CBSE Look at how he asked on the board aqua e x maiva ka hole square ye d wa ba d an i to wt and it will give you a number in it So what happens to the one who knows this technique no that kid what will he do to this general by way of Differentiable but it follows the same pattern If you pay attention then this is also asked in CBSE Look this is power one and this is power one one and one It's done together, what's down there If you don't want to pay attention then there should be an answer to this as well will d wa ba d one = y ba one 41 42 look look at question number 42 42 it looks like deva i Axe To The Base e one hum jane se diye kya hai its difference You will notice what happens, we told you whenever The base in lag is e, it is read as lone x reads lx like this and The difference of LX is 1 or 1 and you tick this option But if let's say 43 y is equal to x to the base 10 Give it to him now, I don't read it as a loan let's read log x base 10 this is general If it is a logarithm then how will you differentiate it? I just told you the formula dydekop.org 1 by x and whatever base this is, we log to that base we will divide it by putting it in our mind put question no.45 look y e a x Squaps Be A Ps C To The Power 5 will say that the body is equal to what If you ask me in objective then how will I make it here learn chain rule ye va ba d write one at least told to whom The difference student has sat down, look at this the formula is x to the power a this formula if there is no formula then see that when x but power n is a constant which is the same as the base I respected him and wrote power in my answer whatever was there, I wrote it down and made it power-1. He is a student, I told him a lot You will see it here in the same way as I have told you many times power is consent this is the power over which that is base to five base five who is the base of this You will write the total below by putting a D on it. and then copy the bottom one and the top one paste it Two understood and one boy said whenever in between If any operator comes in the second row then write d one Let us give it and it follows the rule now the answer see what will happen to this look at this one act two the power a then becomes n and in place of one the base I wrote it down and the power would be one less It's four now let's take it apart differentiable is a constant of scale x Make it differentiable and you will get this option here it will become 2a x ps b a x Squaps Bxps C to the Power Fo Tick this option for one question and the question number is 46 va i sign x squa minus excavate is the best question this is asked, will you call him body equal If there is a queue like this then how will you make it look at this young body which has been differen put it before writing all these first ones We have explained this in the video You will understand only when you watch the previous video will you watch it or not now come here what He said that the leftmost sign is power on the sign Nothing is visible, that means power is one and Power on any trigonometric function If forest is seen then its angle is the same we will respect this x s - x + 1 which is the angle this is that then we'll write this on top chain this The rule says copy the one below and Paste this, i.e. write it as it is Then there is a minus plus in the middle. and whatever is in place of x, call it edge it Write this down and now let's say x squared Differentiable go to question number 47th equation to root under this value will give Root under will give you such a question double The root will tell the root person about the meaning how will you call this body equal to Just look at the body which has a difference We have to do it, write it by putting D now come to everyone Who is on the left? This one is on the root track He said this is respect for the person who is in the root which route is it on this route x this route x then it will go above the chain rule Now tell me again the route has come to the left side now this the root of x is on the x axis Is the respect clear or not now for the root ones? The answer has also been mentioned many times that it is no 1 whatever is copy paste, remove it from root The route is clear now come there is a route again So 1 but copy paste arrange this and write Two 1 Ba F Double Rat X Single Rat X Isi I have to tick the option of question number 48 question number 48 see or equal to will say lag lag x lag lag ekas how to make it here Look, this body is equal to the difference I have to do it, put D in it, clear it, come now what did you say in log wala i said it again and again People have become respectful of the body which is attached to them So this is log type applied to this log x so this wrote log x with respect d then this log x now this log type is x so this the respect of x when d comes to one is repeated They say that the chain rule stops now Come to dydekop.org now it looks like x / imagine x lag ek lag ekbody ektove ba x y lag If x is 1 then what will happen and bye is 1 x is here 1 by x arrange will you give me one look this is I understood it 47 Hua Quen No.49 look here expert expert expert plus dot dot two infinity will say wa body equal to kabhi Sometimes he will ask this in number two also if I will ask you about it in objective manner Let me tell you the technique, first see how it is made how is it then see what is the value of that memorize it doing a perpetual act perpetual act to infinity so from here to here also you can say tova this is not only two It is gold and infinite, we can call it towa as well Will you write what? pwa back this route will go towa squa e x pva [music] The difference between the differentiable y square and the difference of wa d wa body one x one and then bye bye one of us people kova body one The question asked here is d or d is equal tova baadi will bring one to the left side So take 2y - 1 and common also, understand this I have come, if it comes here then it will be in minus right d or d if we take a common number then 2y - 1 will be Gone are the days wa bydi x ive bawa minus so if suppose in two number if If he asks then let us make it objective like this If I ask then direct answer technique see how will you write this what is x x X is repeating it over and over again when If x is repeating then the difference of x What is the difference of x from x I wrote one and remember to write it down. I have to pay 2y look at my question number 50 y i rate cy a ps rate cy a plus rate cy is a plus dot dot to infinity that I will not say d that body is equal to what then what did we say in direct objective d what is that body doing this repeat sa x sa x sa x sa x so what is the difference of sa x if x is the number of x then what is the value of x Differentiable rut under t x plus rut under t x plus so on to infinity so let's make this d by d one what is repeat doing here t x t x t x t x then what is the difference of t x from square x to square one by 2y -1 question number 52 will say y erl a plat a plat a son to infinity will say d ba d ek it to how to write d ba d ek i lag aks lag x lag x is the difference of lag x by x down 2nd move this x will come down 1st x inva myve then consider this option If there is any problem of this type then relax from will be made in objective ya 5 53 aa Question Number I will give you in 53 sign sign cube x when did this happen ya too One year I asked Quinn how it was made Look at that body x or number two also The question is sine cube x when is the leftmost sign what is the sign The power is visible, it is visible when the power If you see then the respect for the base will be the power You will cover it up, whatever is left will be its base I got it now, it's up write sign x q now sign on power one If it is visible then respect the angle If you do it then it will go up and then see the power come If you go then you get power, then you get respect for your base this d wa body is equal to this what should i see Whenever there is a rip of the base x to the power The formula with A means power Write down what it is, after writing down the power one less then Look here, if there is respect for the angle then sign what is the angle which we call it I will write this then see the respect for the base if yes then write the power and one power less it will be given d wa body one = 9 one square sign squea x in kas x k is top become question number 54 seekwa equ rote under Sign Rut x will say that body x is equal to t then look wa byd x y d root under sign rut You will write x, which is the leftmost one, root or all Even in number two it asks if there is a root then the root of the root of that which is inside Respect then it will go above the chain rule sign rate x is now the leftmost sign sign But if there is power one then respect its angle then it will go up, then the root comes If one comes with respect to what is inside chain rule stop now let's answer all d wa Body should have written 1 batu of the one having E route let's copy it, this is done by rote signing under x this is respect to angle then The sine of the cosine and the rut x kav batu rut x yhwa body x i cos rat x to f y you will punish him for this Answer 55 dekho wa i x sign x tova body x act you must have seen this This is an algebraic function, it is trigonometric is the function is in the middle into that means it is The product will be made on the rule of its predecessor What will happen in the video was written in it dydekop.org and dx6 see question no. 56 y = x k e to the to the power x or e to the power x this question Then you will see that this is algebraic, this exposition if there is an int in the middle then how will you make it dydekop.org if you do it then there will be a problem then this x k Leave e to the power x Differentiable did this dydekop.org P3X Square to the Power X question number 57 57 See what will happen, I asked this once 2 ek keb p 3x p send it down When I asked you such a question, I sent it down So if you want you can turn it up and Otherwise, remember the technique we told you about. Put the difference of 1 by x Below is the power one, not the minus one and below is the one Increase the power if you use it it will be made easily like this look like this bydi one put a D on it and write it as it is no and look here when x is x's Respect for whoever is here Tax two and then this goes up because of the chain rule will go now there is a plus in the middle d write a I will give its answer in this type If there is power one then move by what is written Give me power now say one cube [music] Trick in Differentiable Options put a question 58 58 look it is like this Question you and I will bring you to the power of my heart How will you make this, write d wa ba d a e d to the power minus rate in an expo Respect the one who has power over you Will you write down the minus one by rote or the rule that I told you rule there is no mistake anywhere now this Write it above, you will see it in the book in different ways I will tell you the method of Now Expo Asian people should tell us the straight path In Differentiable to the power - √a by 2 √a this is the answer will see question number 59 y = sa inverse 2x then it will say dydekop.org so d that body will put an e d and evers I have a rule, this is Evers' formula, right? sign ivrs xd xv by root arv minus x s write down what is here Write the square of that and say it is 2x here so will you write 2 one below or not now this one below gonna go up why not until d one If he comes then he will go now will you write the answer here or will you write one na bye rate arav minus chuck x tha x [ __ ] write here 2 If there is x then you will write the square of 2x, right? 2 x cut is arranged under root 1 minus 4x sk question number 60 dekho wa equal to it will give you a sign in The question is, isn't it Evers lag? X will say that the body is an ITT then how Will you make that body like this for ten years what is the formula of one ivers We have written this formula for you you will have to memorize 1 ps 1 s s y see this is there one or is there a single or is there a single what is here we will write lag x and then this lag x on top will go to buy aqua buy a equity of this it will happen na bav plus lag x's hole Square Lag X Kav Ba X Arrange By write In this way 60 questions will become yours So after 60, now question number is 61 Look, we are telling you to go to ITF of the ITF Differentiable t sine inverse of 3x minus 4x cubed denva byd x i equal to this question How will it give you an objective view You will make it and say that you consider X a sign If we say theta then let's ask question number two If it gives, then we will consider it as sine theta and then after solving the ITF We will make a difference but we are saying it again and again If this question is in objective type So how will you remember the ITF formula? have to do like look at 3 cy evers of x The formula is inverse 3x - 4x k 1 - x s will be related to all these then we people like theta or what theta is in some There is no need to make it up now, say this asked this Differentiable So if we remember the formula then write it down Will we write 3s and x here or not Was it easy or not now after that dydekop.org I have sent it, it will be signed inverse x ka root under 1 my x sk isi me tum ticked Will you give me one more thing, I will tell you in the question Here I will also tell you about some domains. It will tell you where the value of one is from and where it is So its domain is many but Board level in intermediate level The domain of this will be given in the question This should be the formula, later on question number Suppose 62, how will you make it y = k Evers 2x s - 1dy ba dx1 Now tell me if it is assumed that if this Gave the question then if you make theta it will take your time while this There are multiple MCQ questions and only answers If you want to put a tick then this is also the answer of K Evers We will write the formula for you 2c Evers x is equal to the inverse of 2x Mive now tell the person who gave you this formula do you remember what he will write in place of this 2 cos will write evers x so to make it you will write 2 cos inverse x then d or body one what will happen equal to two it is always said two Take the constant common differentiable cos inverse here is x so respect to x now you will see its answer will you remember the formula of cos inverse happens to be the root of 1 under minus x Tick this answer option in the given answer put the question number we will give you 63 will say va equi cos inverse 4 ex cube minus 3x then look at theta here There is no need to believe etc here insert this formula directly in place of x what will you write 3 kas evers x did you understand this is objective y is 3 times inverse x so Now will you make this difference what is written for dy1 x -1 by root under 1 My Ex Let's take question number 64, he will say y i Sa ivers 2x by 1 px es Differentiable Now tell me here you will see ten evers x of three The formula is sine times cos These three problems in Ivers and not in Ivers three questions are done, he will say as if Here you can write sine inverse of 2x over 1 what will you write in place of p x s 2tan ivers x and d and the body will be equal to what you will put out ten evers x by d one late farwa badi ek ab toh ne ever x ka difference what is the formula of 1 bav p ex Sometimes you will tick this option Observe what happens and how to make a question They give you ideas, let's say questions. The setter wants to give a problem on this the child who is Differentiable x s will call it differentiable y when x is here x is did you write or not, what will the special person do now Look, we prepare questions for CBSE Let's assume that he is 65 and write this only Understand the technique carefully and solve any problem it becomes sign evers wrote the question which sets the question how did you prepare now Here we will write to you [ __ ] x bav p You will see once the question is ready The question is ready, it is very clear now There is a difference but you will notice it here But what do you see, pay attention to the x here Brother, if you understand this technique then The query is formulated as here when x is there then here x scale so here when we write rote x If we give it, we will write the square of rat x here what will you say now tell me its d ba d one Now tell me whether one question has increased or not isn't it a gift dy1 2 rand x ba 1 pr one ka squa ab Tell me did he set it or not whatever happens here this is its square now set this If it goes away what will you write in its place, Ivers? Rut Sometimes you understand what the direct will do If he asks this then well whatever you are making this The question became of two marks because Now this one doesn't want to become direct Differentiable It will go above that now the root one is also teaching that the route on which it is Respect now you will write the answer for evers x Differentiable If there is one then you will write the square of one by heart no and this 1/2 is the same, this is 1/2 What is the square of R 1 * 1 R 1 If x is given then the query will be prepared automatically This can be done like suppose we take a question right here we pose a question Question Number 66 like pay attention we give a question We want to give to the students are these not evers But you will write va equal na evers now see What is here should be the square of that or not now let us write here let's say 2 a rut One, this is a bit of a two mark question Will it be tough or not, we have written it here 2x memo one then you will write its square here what is the square of x x square and root square of x multiply both what will happen if you do this x k now tell me this 66 Leave it now, I will tell you this in short Now we will make you a question We give you the task of making this, you give extra money Look how tough it was on this set If this question is given directly so did it become difficult or not but this set is doing the same but it's setting it to this instead what will you write when here xxxq look, is this x s or is this x k then What will you write here, square of acre So what will it be Ten Evers x Rat One It was simple here, it was here you look here this is too here it is wrong What has happened or what went wrong here? This two will be outside, there will be two here as well It will be multiplied now, it will be cancelled now If you understood your answer correctly then click here what will happen will you write y i 2tan ivers x Now sometimes it also asks the difference let's say the question number is 66 let's give y cos inverse 1 min x sc bav px s give me one i equal to two now tell me this How will you make this formula it is here it is here no what will you write in its place 2tan evers x and say d wa ba d a remember this u be what happens to the evers x and In this you will tick the option for question number 67 suppose he will give it or equal to this this then We already told you that Evers had a question I had asked you some year, did you ask me this directly? what will you write in place of this ten ever x What will be the difference between one body and 2 body? Px question no. 6 asked in 204 that's why you have been asked in Bihar board If you are interested in CBSE then you must watch this 1 Minus cos x by cy x to bolega wa byd x e equal to hai this is bihar board I have asked this in objective 2 in 2024 How did you make it, then consider how you got into ITF Make up your mind Speak in ITF This formula is read in ITF as Evers I didn't call X as simple X What happens when it is neither ever nor ever there will be direct access write sine inverse sine x then DirectX writes it is in all so here is the n evers x now here would you notice if i convert it to no If you give then it will be easily cancelled now The student would not want us to do this directly start difference on formula one number It will take him 5 minutes to do this so make it like this This is the formula we have seen after looking at it we will convert this to no now so its You must remember the Trigo formula Then you must remember the Trigo formula what is that so look evers 1 minus co I would have written you the fcos of aces here If you say half, you say half from the beginning You don't say this, you have to remember this right now I troubled you with a question If integration comes then every If you bother me with questions, please pay attention here When there is 2 then write half a of 2 if there is only one If this happens then write this down Here, there is 2a, then write its half a if here there will be only a if you write a batu then here there is only x here there is only x so what will you write will you write the weight of x or not 2 sa square aces weight now here the size is x so what will you write 2 Sign this life will not leave you throughout integration That's why you will have to remember me now This is two cancels two cancels one sign y ectu n iverse look t x ba 2 happened or No sa ba katen ab ye na everse na cancel Tax If you give it, it will become simple x or 2 and dy2 out and If dx1 happens then tick this option 69 let y be the sine inverse of x will say this d wa ba d a i How will you make what, then look at this process if there is no inverse or x then it would be just x here If sine is inverse of cos then it will not be cos What type do I need to convert into sign? You will have to convert it and only then you can make it How will you make this then see it is equal to sine inverse sine pi butu minus x read there will be 10 class me sine 90 minus theta equal cos th now this If sign evers sign comes then both of these will be cancelled If it is done then what will you write or 69 questions The number is y i pi minus x clear now then Differentiable Zero X of Two Pi Batu You will put a tick in the option minus And Is there a tick in the minus sign? put it, i will give you a question 7th Ict n Evers e to the Power X how will you make this it is simple simple I will write it here as I make it dydekop.org Now there will be respect for X Then yay e to the power x by d one now all of We have explained the formula, now let's look at the d and body one equals two becomes 1 over plus if x here if x is written here then e to the power x is e to the power of x and the exponential there is an exposition of it by arranging it Doge d wa body ek e to the power x bav ps e to the power 2x remember both methods Power multiplication is clear or Question number should be upto 70 gone question number 71 see this question let's give 71 if ex squa pwa squa i 4 give me that body once again this is not complete to me Let's write is equal to that no is equal to would be a question that If not, how will you make it here? differentiable of dy1 and f has no zero now you will see here 2 wadi wa badi equal to this 2 x here So minus 2 ek tova bydi x If you divide it will become equal to minus Xva is very important objective In another objective which Aaras Aggarwal you will get question if xva e c s denwa bydi ax is in this book also here I will give you the option, you will make it too There will be an option similar to that here how will you make this look xva e c squa yes we have to take out kova body ek tova e see your own ek khub diffe dowa badi ek bole c is the square constant and if we exclude ba x bydi x tova badi ec squa tells this, had told some time ago If there is no Ba X, then there is one below, then you will write it Mive and one more power booster, I told you this is it will go to minus c square by x sques Number 73 Look, I'm here to bring the power one this this 73 How to answer this type of question If you don't have any idea then it will be enough You will go long, it will take time for this There is a formula that we write somewhere here Let's write e to the power lag x now what happens if you lag here which is the main base, e is the main base and also of the lag The base is when both are same or both are same So cancelling it and writing X is very Suppose it is important here also Here also the base of lag is 10 so it cancels whatever happens here same here you will see it here this here and as a default In calculus, it is the base when the base is not written if he is going then he will be treated as a The default base is e so now if you look here, the base Very important question is not seen If it is not visible then select As a Default Base e It happens and now let me tell you that both are equal if it happens then it will cancel out and become x and d or The body is a t Differential E to the power of 3 There is one and if you use this then you will feel comfortable will be created from here edge a is the default e but In this formula you will notice nothing behind There is no multiplication here, if there is a diamond If the question is changed a little then how will it be solved If you do it here then we have this formula as well People have read that it seems to be the power of the written all in one pack No when you take A to the power A write apart can then connect the alg a to the power a can you write that otherwise if here e to The Power of This Guy Can Write an Action or Not or if you are not writing the default then this is it What will happen now is it getting cancelled and a new one is made If you take out one body then it will be 3x score I will give you question number 75 are y ect e to the power 5 plus one minus e To the power 4 lug one hole e To the power 3 lug x minus e to the power put x now tell me I will ask you about your income objective and you will say denwa bydi one equal to one who will write the question Clearly, tell me now if you don't remember this idea If it happens then it will be very difficult to make it If you think about it, then it is a lung question, but it is not a lung With this idea you will see how simple it is what will happen from this or look it is behind no it is power ahead na it is multi that power I will run the Log X to the Power 5 log X to the power 4 will be here to take action The Power 3 Will be here to the power Power on the sound u now look here also the base e here also the base is Would be x to the power 5 x to the power 4 x Two x to power That's simple, just take power for x in common So if you take x minus and x square common then xmove i don't understand this xmove Power pho ba x squa on cancel x what will happen x squa wa bydi x E2 Ex sum, you have to tick this 75 now look at question number 76 d to the power 5x I had told you this, tell me I had told you to e to the to the power of x Differentiable Since the multiplication with x is taken out, multiply by Question Number 77 look at this carefully y i feel 10 ekva bydi ek e equal So pay attention to the base of the lag, it is not this It is written, that is, if you write it here in small That means this loan is now in question number 77 If we change these diyas to 78 then the difference will be will you do it d or the body one in which There is difference in its respect then these ten x byd ek what now come tova body ek i lag x difference of /x then sum of t x of t x respect to 1 divided by 10x Differentiable Now let's make a little change to it. e log 10x and look now look what we said Whenever in calculus if the base is not mentioned if we do this then we will understand that base e and if base e Anything else will definitely be in question Must Mention If you don't do it then you will make a difference here or You will apply body X and D, understand it carefully Base is 10 then you don't respect x you will do it and then this x will go up to be one Now come and see this, we taught you the formula If e was here then there would be only 1 over 1 But if there is any base other than e then They divide by putting it in the base 1 Bye will be 10x and then you will divide it by 10 10 x will be 10 this 10 these 10 cancel 1 Ba x lag 10 ho It is clear, see question number 79 will say if x e to the power wa equal yes where will the x be see this is 10 to 10 It got cancelled and the balance amount remained 10 It is multiply, I understood the mistake, now let's go this is going to be ex to the power wa I will say this is a question, Denwa Boy x e equal to ya question diya make it et x iv means its wa body x you x iv on If you take it out, you will write down what is given to you. In CBSE I asked if you will make a difference will you pay attention differential while function is exponential The function is in the middle of the into then y in the invi will do it leave x to the power e or whatever Babar is there then respect him only then this d That body one should leave y and v Differentiable e to the power y e 0 then you will see d wa ba d one Look at this, if you send it to the right side then It will become minus and if you send this then it will be divided this will cancel out this -1 x He has arrived and we have to remove him x one per body one to one body one may be my answer will come 79 question number 80 look 80 we are here but we make 80 here it will write Question no. 80 if y if x equal to y also cbse question hai x itu a kas 4t p b sa 4t then find or find d s a ba dt2 Now look here, it is written here d Square means this double differentiable Look at this, how will you make it, to make it which is given by x e a c 4t ps b cy 4t Look here ext is a function of t so ext Of Differentiable T Now let's look at the a Now k of x Minus sa x so a 40's minus sa 4 and t's You will exclude the multiplier that is with it So look at the minus, write it directly here. you will understand -4a sa 4t it is clear a here it is so let's leave it with t of k 4 I multiplied it by 4 and calculated it The difference is in minus, look here also 4 right? then multiply it by 4, 4b and this 4t this happened once now it has to be changed again Differentiable 16 b sa ko ka Differentiable -If you take 1 common one then it will be 40 plus this b sa 40 is very important question Now you will see this again for CBSE which is equal to x Come here - 16x option will be there in the same option Tick Now let's ask the question number 81 y e log x square by e to the power 2 and Look, the base e is written here, not even If you had not written it we would have understood that no how will you make it here so see it will say dydekop.org Quinn writes, think about how you will make it Please solve this a bit, many have read it I have been telling you repeatedly that it seems like we write ba a as lag a minus lag a y you will write lag a minus lag a what lag ka one more If you have read it, it will come to the power and then the power will move forward goes We have told you everything, now you will pay attention to this loan the value of lag e is one is it or not means it is total one or equt 2 log x min 2 d wa body a e 2 lag x kaw ba x do ka Difference is zero tova body is equal to 2 Ba X, you will tick this option If you look at question number 82, it will be written Eva equal to n x pwa by x minus wa It's not like that, this is so equal to that will say wa bydi equal Two very good question in CBSE Some year I asked you, see how will you make this Write down what is given, this is the objective I have asked in CBSE, Bihar Board Even if it is number two Ask if you can change the direction even a little If you give it then it goes through a very long process how will you make this so look at the left When you send it to the right side it will be an evers will Clear K constant is The full constant of Evers is Differentiable If you do, look at this [music] Cosentino do the one below If differentiable comes then different differentiable ka difference one yewa kawa badi one watch now This is below in nomine and cross If you do multiplication then it will become Zero clear now this whole thing from one Multiply it and make that body one multiply by two look here also from one it is minus from man If you do it then my x myva will happen and this minus minus plus a pva wa byd x e 0 you will see this and you will cancel out x and x maiva maiva this will be natva and here Look, you will take one common service body in both then you will be saved plus x myva ps x pwa d wa by d will be an e 0 or not I wrote both of these for common people, come here -2 va plus see here va and va cancel here 2 aqua body one It will happen when you send it there or not 2 aqua body is this what will be this body is two by two cancelling out wa ba x of this The answer will be this question number 82 see question no. 83 parametric type He also asks a question that will you watch 83 so how will you make it, write if x i a [ __ ] i 28 give me a d e equal to this is parametric If the equation depends on x also then the coefficient of x Differentiable The difference of y with respect to t dx1 probably asked so look at x = a s so dx2 of x differentiable respect to 2x so t square Of Differentiable 2at then the differentiable of y or write the body part on top d one Write down the body part, this is the body what will you write in place of 'a' here are 2a and d what will you write in place of one body 2a 2a 2a You will tick the Cancel Buy option Objective only in Bihar Board in question no. 84 also in parametric look at the question 84 what will it say if x is a sum of theta y = a sa theta minus d va ba d a e equal to and option will give four now here x and y on theta The parameter theta depends on theta If the parameter is x = a then look in turn at x = a how theta is differentiable of one Differentiable you will palai then come y e a sine theta so Then Differentiable a cos theta we have to figure out d wa ba d one then d wa body theta over d ex Down to Body Theta or Down to Body Theta Put the value a as theta and it's minus a sine theta means one cancels out to minus quotes Theta once gave a question like this 85 You will see that it will write if x is a then theta y is a sine theta will say find so how will you make dy4 then by this method I had to make this, will I make it? what will happen to me after gone d or ba d one equal to aa gaya minus cut theta came now what will you write t theta equ Bawa bydi x i minus kot pai by pho And remember the value of Quote Pi Bi Pho If it doesn't happen then tick the minus mark You will ask question number 85, then see 86 Suppose in 86 we will give you such an event e x e a sec th in p parametric wa i bean theta then find find d wa bydi akywa body Give x equal to and option then here you'll see x is equal to a second theta x depends on theta, the mean of x Differentiable from theta to theta in respect to theta wa equal to hai tumko beatan theta tova bydi theta b n theta k is sec square theta this also any year bihar board I asked now come d wa body a e d wa bydi theta up d a byd theta down d ie b sec square theta these to theta in n theta Both values were put and one was cancelled you will do it now look here d wa ba d one this There will be no option, what should I write for b ba a se yes, I just write it, this is not an option will be 1 bytes theta this is theta bytes theta these cancel out and coke 1 ba sine Theta this option is yours You will understand what you are watching, full video I think it will take more than two hours But whatever we are continuously making, we are completing it If you do it correctly then my claim that any question of difference may Be it short or long it won't mess up My challenge is if not in the examination Do you understand it or not? Let's go for 86 87 comes later, I have space for 87 is 87 look what is e x sk pwa sk e a circle of The equation whose center is at the origin is he will say that he will give me body e what so look x squa pwa squa e The difference between A S X S should be this much it's 86 now will you write it is there or not y square of 2y and d of y is d a 0 of square this 2x will go to right side -2x d Wa body a e-2x ba 22 se cancel d wa Body A E-X Baba, will you ask the question in this option Number 88 There is also a place for question number 88, please see I make it here, let me tell you Question number 88 remember this it will hurt you My questions are mostly related to this What do you see here, the base is also variable and the power is also variable it changes whenever If you read it then you would understand why it feels like this Base is also variable power is also variable so in this In this type of problem, logs are applied on both sides Two Is there another way to do that without feeling We will give you this lag x ho now after that it will be Differential of X Will you let the difference be between X and Lag X? the difference of x is the respect of one x cancel wa bydi equal to yewa The one that was below went to the right side and 1 plus instead of lag ax and yeva you put x to the by writing power x This will be asked in objective and it will be answered by If the person is tall then he will ask about the lung Let's write question number 88 Write what you are asking power lag x to the power x yes now it means log x The Hole of power power yes this this right now on power x x so this x went ahead and you are saying yes if that happens x When did he say this among the people Power on the variable will be applied log here also we will give If we try it then only it won't happen later I will answer short question lung question I will make a video of the question number after 88 after 88 look there is 89 in 89 i was equal to a to the power x x to the Power a a to the power a denva bydi x equal to I had told you that whenever there is a plus in the middle, then everyone If you differentiate between different things then you will make a tova Bydee xd to the power xd x d x to the power eddy x d to the power [music] A xva bydi ek dekho ye a to the power the formula for x is a to the power x l a many times Tell me this about the formula of x to the power n then n means a x to the power n - 1 means a - 1 This is a constant per power constant That is, this is the hole constant, its answer is 0 so a to the power x log a a x to the Power A Movable: In this you can tick the option look at question number 90 we are here tells the question number 90 D E Route Under E To The Power Route XD an equal to here it is double how will you make the root here d Root under e to power root X said that this is the leftmost route I spoke about respect for the person who is responsible Then it is above the chain rule Now you will write about the power that you have on e Respect then this route up This will be the bye one and it will be the root one what did 1 batu say How often to paste I told you that expo is an edge and this root under ka na batu root x this arrange ka If you give me 4 Rat X Rat to the power Rat X Question Number 19 question number 91 dekho bolega ten x degree byd ax e Remember whatever formula we tell you Trigonometric function is its angle Whatever is written here is in radians. here it is in degrees this is in radians Whenever it changes, remember yours If it is in degrees then pi by 180 multiply by Now give the difference from the square here also differentiable of no is it written Two years ago once in Bihar Board Question Number you will see in 92 92 he will say D1 by F to 4X Differentiable If you have money then you will multiply the number outside and there is a difference of one from from one in no one this four to four cancel and The answer will be 4x in 4 ticks. will you put it What do you say now after teaching me so much? assess yourself test yourself How much did we learn in Bihar Board 2023 I asked all these questions, what did you become we will make you embrace yourself Do I have the capacity to do all this? Will it become so? I asked in 2023 like the first one The question is sign 2x plus this much Differentiable e to the power x the cosine of a is the difference minus the sine of x and Can I make this minus to myself? I could have asked for the sign for 20 Difference of differentials to square x cy square of x square of 2x so square of sa square 2 sa x of sa x and ka x of sa x if this option is So okay otherwise if sin2x is also here can write Are you able to understand all this or not 2023 I asked if it is being made, then it means you will enjoy it If you will enjoy it or not then watch the video Look once, now look at this, don't care about anything square x square of 2 is one square of ten one and then of nine one square x you will tick this Look at this body, but it doesn't have any power to the square of exa then t x to the square of exa Ekas Arrange 2x of S and then S and write it down. Understand coming in is 11 to the power x a to the power of x Read the formula here 11 to the power x and log 11 asked in 2021, see this What did you say here? We told you about /x Differentiable -1 Ba 3x My 2 Hole Square and then 3x arrange the difference of my 2 Now the last question left is number 100, this also In 2023, this much has been asked, objective has been given I asked so look at what x equals a theta squared depends on x theta then d is a constant If theta is equal to a then cos is constant Squa x Squa ka 2 ek to kas Squa will you write cos of ka t or cos theta and then minus sine theta of cos theta then minus Sign theta yva equ b sine square theta to look at va bydi theta then look at b then it will be he sine square of 2 sine theta then cos theta of sine theta or by d x to find out or byd ecd theta above d x byte theta down it's 2b sine theta in cos theta and you'll write this down minus 2a cos theta in sine theta these two cancel this cancels this minus b ba a What not If you have understood then in this way you will get 100 We will make you practice these 100 questions If the question is practiced So there is no problem of short or long When we tell you easily and smoothly I assure you that you will read this again and again They say if it is of 100 questions If you don't practice then you will fail in the examination pastao ok good bye