Cor requisite this Thursday. Yeah, I know. KH, you told me that before. Hey guys, uh like just check checking a couple of things. Let me know. I'm I'm on multiple areas at the moment. So, I'm streaming from uh good old Tik Tok as well as um as well as YouTube. Uh let me know if the sound is working on both ends. Is YouTube working sound and is Tik Tok working sound? Sound is working on YouTube. Amazing. How's the sound on uh Tik Tok? KH, let me know. I guess I can always find out myself. Give me a second, guys. Just setting up a couple of things and then we'll get going. How do I even find out if my own thing sound is working or not? That's a good question. Let's go here. Oh, wow. That's good. All right, team. All set for the day. Um, sorry, Nico. Apologies about that. It is what it is. Um, so guys, welcome to the level two calculus um tutorial today. Uh, we are going to be covering off one question. So, we're going to be doing like one major question from level two. Um, and I think the way I've set it up is I've got uh five um questions. I've got five questions that we're going to go through. Uh, so some of them um you know the usual drill. We've got about a few questions that are achieved and a few questions that would be merit and I think one question that's going to be excellence. So uh what we're doing today is I think we've got achieved achieved merit and excellence. Two excellence questions as well. All right. So, if you are kind of hanging around for the excellence questions, I would say come back at about 8:20, 8:25 maybe and then I'll actually go through those questions there. Ah, Johnny Grant, thanks. But, uh, you should be hold on to that. You can buy yourself a nice cup of coffee. Uh, the thing my school uses to find out the old exam. All right. Chill music wibes. Yeah, nice. Okay guys, so with that in mind, we're going to get started straight away. So I am going to kind of assume that um most of you guys are good with um what do you call it? Good with um your basic uh differentiation. So we kind of will go through that. Sam, just let me know. Is it still sketchy? I think I I might know why. Give me one second. I just want to fix up something here. Uh, microphone. Primary microphone. Logitech. Are you getting an echo there? Uh, Sam, is there still an echo? Let me know. Okay, because I just realized that there's actually two inputs going into into there. See you, David. Um, all right, guys. So, we'll get started with question one here. Uh, we've got an achieved question here. And with the achieved question, basically, I'll uh run this where I'll I'll give you folks a couple of minutes to give it a go. And then after that, I'll go through the answers. So, I'm going to give you two minutes to try and do this um question and then I will go through the answer. When are you going to finish doing level two calculus? I think uh oh, by the way, if people are joining uh for the first time on TikTok, by the way, I just thought I'd show you this because I know some people don't even know this exists. Uh if you go into YouTube, um where is it? There we go. go into YouTube and if you are kind of struggling with um just your revision stuff uh and if you're like just starting calculus go into this um level two calculus playlist it's it's amazing. So it is um really useful for you if you are um just trying to remember things or just learn things from the first time as well. So those two playlists are good and then at the bottom you're going to see like past exam paper walkthroughs. So all of those are available along with um live stream tutorials that I've done for the past I don't know 10 years. It's all in there. So go have a look if you are feeling a bit overwhelmed with this session. Ladies man I don't know who you are but thank you but you didn't need to. Guys, I'm going to give you one more minute to try and do this question and then we'll go through the answers. All right, 113. Cool. I'm seeing a couple of answers pop up. So, because of that, I'm going to start working through this. So, with this question, what we've got is we've got g of x and we're asked to find the gradient of the graph at the point where x equals to 3. So we are looking for g dash of 3. So we actually need to figure out what um g dash of x is first. So we're going to do I'm just going to write this up here as it is. g of x is 5x cubed - 4x^2 + 6x - 1. Then I'm going to differentiate it. So differentiating it, I'm going to get 15 x^2 - 8 x + 6. Then I'm going to substitute my 3 in there because that's what um is going to give me give me my gradient at 3. So 15 * 3^ 2 - 8 * 3 + 6 um calculator. And you can actually just do this. 15 * 9 - 24 + 6 and that's going to give you 117. Uh just having a quick look at the question. Uh level three probability. Thanks Jazz. Appreciate it. I have not slept properly but I will get to level three probability in the next 24 hours maybe. I don't know I'll see how I can get it done. Um in terms of preparing for the exams I would say go through um pass paper exams but like try and go through like backwards. So don't start at like 2014 but start at 2024 and then kind of like um work backwards all the way to 2017. I think no more than that. Uh folks I'm just going to leave this up here. Let me know if you have any questions with any of these particular lines. Um if it is any questions then you could actually ask me otherwise I will move on to the next question. Uh yes sorry this is pretty much being simal cast both at YouTube and Tik Tok. So if I do miss a comment on either of the chats I apologize because I can't keep up with this many chats going up and down. Uh yeah, this is an achieve question. So, uh Golden Eye, they generally tend to be because um unless they buy the same paper, then they tend to have like um they try and modify the questions a little bit. All right, so we're going to go through to the next question. I think uh we I don't see any questions popping up in this. So, we'll go to question number two. And I want to have a look at what type of question this is cuz off the top of my head, I thought it was a merit. It could be an achieved actually. Oh, no. I lied. This is a merit question. This is definitely a merit question. Uh, is there going to be an anti-ifferiation as an excellence question? Let me just double check my notes because I put up some questions minimum point. Yeah, there's definitely a um anti- integration question as excellence one coming up shortly. I think that's question D. Folks, if you do want to see what's the questions that are popping up, I think I've got my OneNote linked up there. Uh you can actually have a look through it and um Whoa, what is happening here? Why is there a bunch of roses going? Sorry. Still brand new to Tik Tok. I don't know what what is No. You know what? This is too hard. I'm just going to let that be. Thank you, Rose. I don't know what's that for, but appreciate it. Yeah. So, guys, um, this OneNote is actually available. Um, where did I put the link? I think the OneNote is actually available. I thought it was available. Okay, maybe not. Okay, what I'll do is I'll actually link it. um later on my um either uh Instagram or infinite um on the YouTube channel. I'll put in there. Oh, wow. Really? Thank you, Ray. Appreciate it. Wait, Rose's money. I was like, what? My god. Yeah, don't need to, guys. All right. So, let's actually go through um this question here. Um now, sometimes you got, you know, you can get questions and you look at it and you get stuck. And like I I remember looking at this question, I was like, "Oh man, this is I don't even know what it's asking and then I put the questions wrong in chat GPT and then ended up with something else." So, looks like one of you guys got the right answer, but um one zero and one three. I don't know how you got one zero. All right. So, let's actually have a look at this. All right. Um yes, I'm in New Zealand. I love it how these guys are asking these types of questions. So if you look at this particular graph right now x^2 + uh x^2 + x + 2. Now when you look at this particular graph like I know that this is a positive parabola. So it's going to look like this. That much uh I know. Now the next thing is what they're asking us to do is they're asking us the line is y= 2x - 10 to the graph. So, we've got this line 2x + 1, which happens to be this right here. And what they're basically saying is that they want to you have to kind of prove that the line is a tangent at this point 13. So, they've kind of already have um they've kind of already given you the the question here. And what we're trying to do is trying to prove it. Now, how are we going to prove it? Uh I don't know. Let's just kind of have a look at it. All right. So, the first thing I'm going to do is I'm actually going to create um I'm just going to find that what the tangent at one is going to look like. All right. So, to do that, what I'm going to do is I am going to kind of do this. I'm going to test this out. So, I'm going to put this point here where x is equal to 1 and I don't know what the y value is. And I definitely don't know what the gradient is. So those are the um two things that I need to actually find out. Asen says get some rest. Tell to stop taking my car park. Um all right. So next is um we've got what do we got? We've got we've got so we've got h of x. So h of x is equal to x^2 + x + 2. So I'm going to figure out what h of one is. So when I figure out what h of 1 is, I am getting 1 2 + 1 + 2. That's going to equal to four. So what we've got here is this little pink point here that we have. This is 1 and four. Now the next step is to actually figure out what the gradient is. So to figure out what the gradient is at h of 1, I'm going to take h of x, which is x^2 + x + 2. Then I'm going to get hdash of x and that's going to be 2x + 1. So what I'm doing is I am trying to find the gradient when x equals to 1. So, h dash of 1 is 2 * 1 + 1 and that's equal to three. Why? What am I doing here? I'm doing something wrong, guys. I think I just realized what I what I made a mistake with. Yeah, yeah, yeah. Sorry, sorry, sorry. See, this happens, man. Like you put me under pressure like this, you make mistakes. All right, let's get rid of all of that. I blame ACN for this. ACN tricked me, right? So yeah. Yeah, that doesn't make sense because that's we're actually defining the point um 13. So what I might actually do is let's actually kind of figure this out. Well, we know that the point is 13. So this point here is 13. That one we figured out. So that's fine. I did that. What's the next thing? What's the next thing that we need to do? We need to figure out the gradient at 2x + 1 is two. Why is the gradient at two? Ah, I see what the problem is. Okay, huge apologies. I did a typo and I did a typo wrong. So, I apologize about this. The question was not actually x^2 + um x + 2. It was actually x^2 + 2. Sorry about that, guys. That's where I made a mistake. I was like, I copied the question wrong. Yeah, that's uh that happens to the best of us. Wrong question. Wrong question. I copied this part wrong. So, that wasn't supposed to be plus x. That was just supposed to be x^2 + 2. But that still doesn't make sense, does it? No, it does make sense. Yeah. Let's try this one. That's better. That's better. I'm sorry, sniper. I made a mistake there. All right. So, h of x is equal to x^2 + 2. So, we're still going to do the same thing. h of 1. So, that's 1 2 + 2, which equals to 3. So, that gives us 1 3 right there. All right. That's fine. hdash of x, we're going to differentiate h of x first, which is x^2 + 2. And then hdash of x is equal to just 2x. That's much better. I copied the wrong question and I was like wondering why it wasn't actually working out. Next, I put the gradient at 1. So 2 * 1 and that's going to give me two right there. So what we've got here is we've got the point 13. We've got the gradient which equals to 2. So now we just make this as a straight line. So to figure out what the tangent is. So when we do this, we're going to get y - 3 = 2 * x -1. So we're going to get uh y - 3 = 2x - 2. And then y is equal to 2x - 2 + 3. And that's going to give us 2x + 1. Yeah, sorry. Apologies, I copied the question wrong. And that was my mistake. But basically what I've done here is I figured out what the y-value is. I figured out what the gradient is. And then I put them together to get the tangent. Um, and then we're good to go. And we've kind of shown what it is. So yeah, sorry about that. I think that's why there was a bit of confusion as to why this question wasn't actually working out. All right, let me see. Can my brother do my English assessment? No, I cannot. Uh, happy to help, Devin. All right, on. So, if you do have any questions, um, just jump out and tell me the pink line, the numbers, they actually tell you what to do. Well, the other way you could have done this, Sophia, is you could have done it like this. Uh, because the gradient is equal to two. Uh, that's a good point. The other way you could have done it is you could have actually done like this. H of X is equal to 2X. And because the gradient is equal to two, we can put 2= to 2X and then get X value is equal to 1. And from there then you can actually go h of 1 = to x^2 + 2 1 2 + 2 = to 3 and then you've got your.13 uh and then you've also got the gradient of two and then you can try and match it up that way. Sophia uh serpent sailor thank you. I don't know what all these gifts are but I appreciate it. I don't need it but okay. Uh this is just a paper that I pretty much put through chat GBT because I took one of the past exam papers and put that through chat GBT and got some answers for it and then we're kind of working through it at the moment. Rainbow girl, I think I understand what you're trying to ask me and I think that's fine. Uh Jen, no. This is just a 13 is the final answer because I've actually proved that the tangent is equal to 2x + 1. Why do you need to find another y-value if the coordinate of the points are given? Uh the double exclamation mark. The reason why we're finding the y-value is proving that firstly we're proving that one and three is there and then we still need one and three to create the equation of um equation of a straight line. Okay, this is just strange. H of one is to figure out the y value of three. That's what it is. uh Tyler this part right here the line number 10 this is just equation of a straight line that I've used so equation of the straight line which will be given in your formula sheet and then you can actually work from there that's to find um when you're given a gradient and two points you find equation of a straight line could you do 2x + 1 = x^2 + 2. Yes, you could do that and I think you end up with one of the points. But I think that's one way of doing that as well. Perfect. That that you can actually prove that. Yeah, I think it will work. But you've got to remember this is not um what's that other one that you guys do some uh do you guys do systems of equations? So perfected if you are doing systems of equations, I would do that method. But because we're doing calculus, we've got to kind of show somewhere we're trying to use the gradient. Yeah, Tekk, I made the date wrong for um today was supposed to be level two mats and not level one mats. Usually you guys are green color, so if it's green color, then that's level two mats. Blue is for level one mats. Uh, Nene, we're going to be doing that question in question. I think it's coming up not next, but the next couple of questions. I think it's question E for the day. All right, let's go with the next one, folks. We are going to come with double differentiate jy, but that's going to be in the last question today. It's like I need like a bigger chat window for to keep up with um what's happening on good old Tik Tok. But all right, let's try this one. I'm going to give you guys three minutes and then I'll try and go through it and hopefully this time I copy the question correct because that's the biggest problem. Um Bob, you wouldn't need to use double differentiation for this one. The reason you don't need to double differentiate it is because they've already told you what the maximum point is. So you just need to figure out what the minimum is. No calculator, come back. Wait, what are we confused about? I kind of lost track there. Ethan, where is Ethan? Oh, I missed that. Why did you substitute one in for x before differentiating? Sorry. Uh, Ethan, that was to figure out that y is equal to three. That's all. Yes, Kish. I'm in South Oakland. Are you in New Zealand? I'm only your local hero of the year. That's all right. Yes, I'm in New Zealand, Christian. Now, this question, you got to actually figure out what K value is first. you can figure it out. Remember like look at what you have been given. All right, it actually says maximum turning point when x equals to 1. This is your biggest clue. If you're getting stuck with this, your biggest clue is here. Remember that um turning point uh this you'll be doing this in year 12. Turning point means the gradient is equal to zero. So basically what they're saying here is gradient is equal to zero when x is equal to 1. So in other words g dash of 1 is equal to zero. I know people always come in as like what year is this paper? Guys this is a chatpt generated paper. So it's just a combination of um questions I fed it and asked me to write a paper with answers. Uh Bergie to answer your question I think it's I used calculus to prove the equation of the straight line with the with the gradient and the y-value and that's how I got it. Uh engine absolutely correct. So whenever they say gradient there is equal to zero is because if it's a maximum point your curve is kind of doing this and so that means the gradient is zero and if it's a minimum it's kind of like coming down and then it's going up so there's like a turning point. So another thing that is worth remembering is like if they say turning point turning point is like a zero gradient is um equal to zero that's just that's all it means. Hey nice on the Got it on the money there. Um, Daniel. Yeah, I think we've got a couple of three fours coming up, which is awesome. What is Oh my god, I can't keep up with this. Yes, that's correct, Dylan, because I think um that they stuck through. All right, that's fine. We'll go through it. Um core, would I substitute all the x with zero? No, Mary, I think you would substitute it with one. But let's go through the question, folks. And I think we'll um we'll kind of go slowly. All right, so the first thing is this. We've got g of x, which is x cub - 6 x^2 + kx + 4 Then we're going to find out the gradient function. So that's going to be 3x^2 - 12x + k. So this is pretty much the gradient function here. Um, and I just want to double check what what you guys get achieved for in this particular paper because I can't remember off the top of my head. Uh no, you got to find K to get get an achieved. Okay, so because it says maximum turning point is um when x= to 1. So we know that g of 1 is equal to 0. So we can substitute it here and we're going to get 3 * 1^ 2 - 12 * 1 + k. So that is equal to 3 - 12 + k. So 0 is equal to k minus 9. So k is equal to positive 9. So when you get up to this part here, this is going to be an achieved. Uh Mary, I hopefully you got the hang of what I just did there. Um I'll put some line numbers here. Let me know if you have any questions. Otherwise, I can go to the second part of this question. So once we figured out what that k is equal to 9, we can actually figure out what the coordinates of the minimum turning point are because g of x now we've actually got g of x g of x is equal sorry g dash of x is equal to 3x^2 - 12x uh + 9. Now I know that the gradient is equal to zero. Uh, how? Wait, how come you got 3x^2 3x question mark? That's just I've just differentiated there. Um, who is who asked this question? I lost it. Mary, I think Mary you asked. It's 3x^2. Jro, get out of here, man. Coming back with your triple excellence and doing your scholarship calculus. Stop messing with these kids. All right. So, to find the um the minimum turning point, we know that the gradient is equal to zero. So, we're going to put this as 0 is equal to 3x^2 - 12x + 9. Y trolling, J Crow, stop trolling. Uh we know see the thing is like with this one what you can actually do is um you can actually just use the graphics calculator to figure out what the x values are. So if you are um if you do have a calculator then what you can do is uh what are we going to do? We're going to go into menu go into equation. We're going to go to polomial degree 2 and we're going to throw in all of these numbers which is 3 - 12 and 9. So those are my two x values. x is equal to 1 and x is also equal to 3. Now we've already got the x= 1 part. So that is the maximum point there. So the minimum point is going to be uh what have we got? We've got three, right? Uh 33. Yeah. So we just got to figure out what g of 3 is. So that's going to be 3 cubed - 6 * 3^ 2 - 9 * no + 9 * 3 + 4. And hopefully this works out otherwise I probably made a mistake somewhere. 3 cubed is 27 - 6 * 9 + 27 + 4. So this gives me a point of 3 and 4. And that gives me a grade of a merit there. So 8 9 10 11 12 and 13. So I'm going to pause there folks for a few minutes. If there's any particular lines you're stuck with, let me know and I'll happily help out. Uh Gus, sorry. Yeah, that was a mistake on my part. Um usually the green is for level two, but I just forgot to change the level one to level two. That is my bad. What the man? There's some Look, guys, I know that there's some strange things that have been sent on this Tik Tok feed, but uh whatever they are, thank you so much. But I don't know what it is, but that's fine. You don't have to do that. Just come in, enjoy the show, and uh learn something. Uh throw a thumbs up if we're good good to go to the next question people. Otherwise I'll um Is this English class optimization? I don't think we're going to go through today. I think I've got a couple of differentiation questions. Yeah, thumbs up. We're good to go. Next one. Where's my next question? All right. Now, this question I feel it's an excellence question. Just want to double check. Yeah, definitely an excellence question for this one. Yeah, sure. Jaden, I think your first step is to get through the level two calculus in 10 hours playlist. Once you finish that, watch the uh the exam walkthroughs and then you should be good to go after that. Nico, I think it depends on what you find easy because like at you know sometimes people need like a little bit more time with level two um algebra. So yeah, really depends on depends on you, man, and how much prep um prep you're willing to go or willing to do. Oh man. All right, let me just have a look. What is the final answer? My Yeah, Basu, I got a different answer. Let's crack up J Crow. uh key thing Basu and I know some of you guys are getting stuck here. The key thing is this. Yeah, that's right. Rainbow girl, that's correct. B is eight. I think this is the most important word that you're going to see right now. This word right here. That's the clue. [Laughter] Good luck, Ser. Yeah, good luck. I think I've got a probability one. I'll need to finish it sometime in the next week or two. Yes, you have to anti- differentiate in this one for sure. But um also the the key thing is the turning point language is um is important. Minus Ashley. Minus, not plus. Oie. Oie is on fire here. He just cracked it. Uh, chill music wives, where is it? There's nothing wrong with uh having a chat with your student leaders and see if we can make it happen. Okay, so here are some clues for you. All right, we've got fdash of x. We know that these are the things we know. We've got the point 27, which is basically f of 2 equals to 7. And the key point is it's a turning point. That means fdash of 2 is actually equal to zero. Unless I've stuffed it up somewhere. 4x - b uh sal. Yes, this is level two. 33. Cool. So with that in mind, let's actually look at this first. So because fdash of 2 is equal to 0, we can say 0 is equal to 4 * 2. Uh actually no, I'm going to write this first as it is. So 4x - b 0 0 is equal to 4 * 2 - b. And then 0 is equal to 8 minus b. b is equal to 8. Uh v. No logs is actually for level two algebra. So we're doing calculus and we'll probably cover that um next time when I do algebra. So once we figure that out, we've got fdash of x is equal to 4x - 8. Which means f ofx is equal to 4x^2 / 2 - 8 x + c. So that's going to give me f ofx is equal to 2x^2 - 8 x + c. Now we've got the point 27. So we're going to substitute the 27 in here. And we should get 7 is = 2 * 2 ^ 2 - 8 * 2 + c. So we got 7 is = 8 - 16 + c. 7 is equal to -8 + c. c is equal to 15. So then our f ofx is equal to 2x^2 - 8x + 15. So the key thing with this one is um it's the turning point right now. If you don't see the turning point langu the part there you can easily end up with um 4x^2 - bx and start getting a very ugly looking equation. Right folks I'm going to leave it up here for um a couple of minutes. Just let me know if you have any questions or not. And then we can actually go from there. Engineering science 311. I think I failed that. Failed it. Uh, chill music wibes. I actually, every time I come down to Wellington, I always drive past Leven. Leven is actually our stop. You know where that big playground is? Um, this massive playground in the middle of Levan on the main road. We stop over there all the time for food and uh, good place. core scooters. When I did this paper, uh, this paper was originally I I can't remember which year this paper is from, but this question was classified as an excellence back then. I don't think it's an excellence. I probably think it's more like a merit, but they did classify it as excellence a few years back. Uh level two maths external I think that's algebra calculus and probability serpent sailor. Well V I don't do private t this is my tutoring man like how did you know that fdash of 2 is equal to zero? Sienna asked this question Sienna that's because of the yellow the turning point. So when they say something has a turning point, what's happening is is these are your turning points right here. So these parts the gradient is actually equal to zero. So and sometimes they might write it as like a maximum point or a minimum point. Uh so either way they do it, you can pretty much um say that it's a turning point. Yeah, Rainbow Girl. As I said before, some people were saying that this was a I think in my last when I did this paper a couple of years back. It came to it as an excellence, but I don't think it's an excellence. I think it's a it's more merit nowadays. Will there be one before the external? What are what are we doing before the external core scooters? I mean, I'm doing tutorials all the way up till November, guys. So, uh, Golden Eye, that's that's a question you should be asking your careers advisor, not me. Uh, guys, if there's no other questions for this one, let me know. We just throw up a little thumb, what do you call those things? Emojis. Let me know if you're good, and then I can go to the final excellence question of the night. All right, sweet. So, final question for the night. We're going to be looking at maximum value of a function. And you got to justify your answer. And I'm going to give you guys about um five minutes for this, not more than that. I reckon you can do this. Uh ant soon. For someone going into level two calc next year, how do you suggest I go about things in general? Uh lots of practice with algebra. And I've also set up a playlist for level two algebra, calculus, and probability. Um, well, actually, you don't need probability. You're more than welcome to just go find them on YouTube. Um, just look me up on YouTube, and you should be able to go through those. I I I guess they're kind of courses now, but they're more like playlist that just covers all the materials you need to know. Uh, Bella, we're doing that on Thursday. Sorry, I got the color color scheme wrong. It was supposed to be level two today. There you go. Antisoon. Hyper steel. Hyper stealth. Stellar. Hyper stellar. Got an E from the playlist. Yeah, check it out. Aaron, I don't know what which topic you're doing. Um, if you're doing sequence and not what is it? Systems of equations or algebra or graphs? I don't know which one it is, but um go to my YouTube channel and then go to the uh level two section and you'll find all the exam walkthroughs and um oh systems of equations. Yeah, there is a playlist systems of equations playlist I've set up, but it's kind of hidden in level two area. Sorry, I'm just going to hijack a little bit here just to show where the systems of equation is. So, if you go to the main page, and I know it's a bit clunky, but if you go further down, there is systems of equation skills, and there's a practice question there that you can try and do. Um, Aaron, that's a good one there to kind of use. That's on the main page of YouTube. So, go find it there. Manir, you keep saying it, but I think I need an invitation from your probably a flight ticket, too. Now you're welcome Aaron. So guys, some of you guys um asked like uh look, do we double differentiate for this? This is the one where you need to double differentiate. Um so you have to double differentiate in this case. Uh do I have a schedule? Yes, I put up the schedule on every social media platform that I'm on, which is all of them. Well, it's not just the invitation, man. I need an invitation and I need you know lots of things but um get one of your student leaders to get in touch and we can actually work it through 100% hex 100%. What is local maximum value? I don't know. We'll figure it out. Len langen uh px is equal to tangent to the function 3.5 x^2 - 8 x + 6 ang there is a way to do it I just can't remember off the top of my head right now what would you do if you differentiate you get 2x Right. I think I've done that before. It's like a weird um one where you get like two points and you try and work through two points. Uh Sent Sailor, the 10-hour playlist covers everything. It covers differentiation, integration, optimization, everything. Daisy. Yes. I think not this week for level two. Next week I'll be back for level two again. This week I've only got level three differentiation and level one mats left over. Yeah, I'm thinking you should get two answers for P because if I look at Oh, maybe not. Hang on, hang on, hang on. Give me a second. Um, Angard, I'll I'll go through this and then I'll I'll graph I'll graph it out just to see what it looks like. Uh yes V there is a algebra playlist as well like there you go uh where is it level two right there that's your algebra playlist your calculus playlist probability and then level three is there as well it's all there Bella I'll be going through 8 8 o'clock every Rainbow girl, you could do that. Double differentiation is just easier because it it just definitely works. Um, it's a lot more cleaner is the word I would actually use. Daisy, unfortunately, I can't do it on Wednesday because I'm actually away on Wednesday. Um, but anyway, people, let's get through this question and then this should be the last question and we should be done after this. So what I'm going to do is first things I'm going to expand the equation. So I've got y is = 6x^2 - x cubed. Then I'm just going to replace instead of y I'm just going to put this as f ofx because it's easier for me to do. So I'm going to do fdash of x which is equal to 12x minus 3x^2. So I'm going to put this equal to zero because that's what the um for max and min. That's what happens when um to find what the x values are for gradient is equal to 0. So, I'm going to put down 0 is = 12x - 3x^2 and then 0 is = x * 12. Uh, no, let's actually take 3x out. And I'm going to get 4 - x^2. Is that right? Is that right? Is that right? Let me check. Not x2 x. There we go. That's better. Okay, so with that in mind, I've got 3x= 0 or x - 4 is equal to 0. So x is equal to 0 and x is equal to 4. So those my two turning points right now when x equals to 0 and when x= to 4. Now what I'm going to do is uh I think I need to find the local maximum value. So I am going to actually put this I'm going to double differentiate fdash of x is equal to 12 - 6x. Then what I'm going to do is I'm going to put f ddash of 0 and fdash of 4. So here I'm going to get 12 - 6 * 0. That's going to be pos2. Here I'm going to get 12 - 6 * 4 which is equal to -12. Now this is the part that you need to remember because f of ddash of 0 is greater than 12. This will be a minimum point. f ddash of 4 is less than z. Um so that should be greater than zero. Sorry less than zero. This is going to be a max. Yeah. Not greater than 12. Sorry, made a mistake. So with that in mind uh I can see that when x= to 4 when x= to 4 it is the maximum that's when max happens but I still got to find out what it is. So f of 4 is equal to 4^ 2 6 - 4 and that's going to give me 16 * 2 which is equal to 32. So what I'll do as usual I will put up some line numbers. Let me know if you have any questions. Uh, oh, there's a chat GPD. Thanks, um, Serpent Sailor. Uh, J Cro, apparent this question is supposedly a uh, excellence question. Line 11 and 14. um muzz line 11 and 14 those are just some of the rules of double differentiating so when you double differentiate and you substitute the x value if you get a minus value it's a max if you get a positive value it's a minimum why is line three equal to zero because that's where the turning turning points happen uh cheeseman 100% moxer pardon because You got to fail in them to actually to figure out how hard it is or you got to fail and make mistakes so you learn from it. Uh don't just leave it empty, man. Like oh line five to six daisy. That's basically just your normal um you know in quadratics when you have two brackets that are multiplying and equal to zero. We can just separate it as each of those brackets is. So either you get 3x= to 0 or x - 4 equals to 0. Uh Jaden, keep an eye on my tutorial playlist. I usually tutorial schedule which I usually upload on Sunday. Um after checking how my week looks like. So can definitely do that. Uh Sienna, how do I know to double differentiate? Uh I think if I want to find maximum or minimum, this is one of the methods you don't they don't necessarily teach you in level two cuz I think they like you to find the maximum values and then work it through. But I just encourage people to use double differentiation and it's actually fine. You get to use it in level three anyway. Uh king of diamonds, no 32 is the final answer. Is line 16 necessary? Yes, line 16 onwards is necessary because they are asking you to find the local maximum value. So you need to get to 32. V no I don't have it any playlist for science unfortunately. Yeah. So once I figured out that the max happens when x equals to 4, I just put the four back in here to get the um 32 F double dash. Theoretically it is moose if f f dash is but it's always a good idea to check uh daisy local means that you because this is a cubic when you think about it like this this graph looks like that. So theoretically it doesn't have a maximum value or minimum value because it it keeps going up. So what they then say is that this becomes the local max and this becomes the local minimum. Uh, you could say the coordinate golden eye, but I think I mean I think you'll be all right with either. Uh, Kyo, no. Level two distributions is not my jam. Sorry. No worries, Flut. You're welcome. Now Samuel, you don't need to explain it in words. You can just write write like max value is 32 and then you're good to go. Probability live stream. Now I still got to finish the probability playlist, man. So that's next on my list. No, Sophia. Uh I think the four is the x value, right? So they're not asking you for uh for what value of x is the maximum happening. They're actually asking you what is the maximum value. So when you get the four and then once you substitute the four into the equation you get 32. 32 happens to be the value. Yeah m I don't I don't think that's possible to do between 6 or 7 guys. Uh you know family time with dinner with my family and then spending time with my kid. He goes to bed at 7:30 and then only after that uh you guys come. Sorry I got to I got to look after the kid first. Uh, Daisy, like if you go on my Tik Tok t I think you are in Tik Tok. Yes, I do have a schedule up on Tik Tok as well. So, you should see it. Uh, where is it? Uh, where is it? Where is it? There we go. So, usually I I post it on Tik Tok as well as Instagram as well as all the socials there. So, you should be able to find it there. Ah, 67. Oh my god, I'm still trying to understand this 67. Now I get it. Okay, fine. Funny, funny. You got me. Chain rule to solve this. Uh, no. It's too I think you I don't think you need you can use chain. I think you'd have to use product product rule. Uh, king of diamonds. Anything is possible, man. Anything is possible. All right, team. Look, uh, thank you so much for joining today. That was a good five questions. Uh, I will see you guys next week when I come back with level two. Just waiting for the CIA to finish. Once CA finishes, we'll be full fulltime into um all the externals um tutorial. Oh, is the webcam frozen? Oh, who cares? I think that's because I've got it hidden there. So, let me just move that out. There you go. That's better. It's got like two two head cams. Kinematics is for next time, guys. Next time we'll do kinematics next time. What's pretty please do on Thursday night if you're not free for Wednesday. If you're not free for Wednesday, level two. Now, Wednesday Thursday, I'm doing level one, guys, cuz I got to I got to do some level one work for those guys. Otherwise, they'd be upset. What happened to my lights? I was wondering what's happened. Jeez, someone's been messing with my lights. Oh, you're welcome, Serpent Sailor. It's all good. Oh, Angad, you did ask me that question. Angad, can you actually email me that question? I will have a look at look through it tonight and then um I'll I'll I'll send it through, man. Andy and Ank, man. Oh, honestly, I can't believe I'm up at that stage. Andy, thanks for calling me Ank. Andy. Uh, Gemma, I really I think my my favorite one is um I got to be honest, uh, I I enjoy the live streams where I do t-shirt giveaways like I did last last week. That was great fun. Uh, Daisy, yes, I am a teacher. I teach at Mston Junior College. Jonty, I was there last last I think I came by last year. You're welcome, Sai. You're welcome. Wait, is St. John's is the one in Hastings, right? Is that the one you're talking about? 702. Fine. See you, Bal Raj, wherever you are at. I I've got like two chats going here and like JRO failed that. Sorry, Ashley. Yeah, 32 is the Y value, but it's also the local max value as well. Yeah, I figured figured that out, Ser. I figured out it was you because you've basically got number one on both of the chats. Uh, Ben, what's in the level two calculus playlist? I think everything you need to know for level two calculus. You're welcome, Maz. We'll see you later. Now, Moose, I think scholarship calculus is being done by a person called Michael Walden from Mount Albert. Amazing teacher. So, check out his stuff. I think it's called Cal WLD on YouTube. Oh, Leela, what school are you at? That's pretty cool. Yeah, good night team. Good night. Uh, Hex, the the playlist, I think it's under calculus playlist. It'll always be there. All of these question like all my lives on YouTube get saved. I can't be stuffed getting rid of them. So, you guys can always come back and watch later. Ryan, I've not been playing God of War at all. I've recently got hooked on to Settlers of Katan, so I have been um playing that heart out. Core Scooters, Miss Weekly said that a bunch of Westlakes guys are going to be here. Wellington High. Nice. Nice. I know. I think my my wife went to Wellington girls. Advice to get merit in calculus level two. Uh simple. watch the level calculus in 10 hours playlist and then do the um practice papers and then catch up on the live tutorials and I think you'd easily smash America on excellence. Oh, is is SJC St. John's College? Is that is that what it is? Well, if you guys got exams tomorrow, good luck team. I miss playing God of War. I haven't actually I've I really miss it. But it's just once tutorials start I you know I don't do anything else. I do tutoring. I do uh live streams here and then I get to work and then that's basically it. Uh Jackson Holiday 100%. Last year I had a kid that went from not achieved in the marks to excellence because they were committed in doing all the work. So what just watching it is not enough. like making sure you do the questions along with me uh in those practice in those videos would definitely help you um get what you need to get. Yeah, Core Scooter, she she messaged me earlier this afternoon and said that she's actually asked a whole bunch of guys to come through to watch that. So, you're welcome, man. Take take care. Nah, random. I think it's just as a at school I suck. graphing internal. Lara, I know you asked me this question. I think I think did I create something? I think it's very vague. Um, Lara, I think where is it? Yeah, like if you go to my main YouTube page and I think under NCA level two, you just got to go a little bit further down. There's some old videos for level two graphs that's actually worth having a look at it. Yeah, Jackson, I'm done, mate. But um look, you asked me about the what do you call it? What's good for revising? Just go in here. There's all those playlists there. That's like 15 hours. I mean, you guys can binge it and you should be good to go for that one. Oh, I appreciate it, Dylan. Thank you so much, man. That's pretty uh pretty awesome. Uh JRO, I actually have um we've been talking about it in the background. Um but you know, schools always gets gets in the way, but um I've got to figure out a way to head down to Taranga to see um see if I can catch N. Bowman's Mats is amazing. I've been keeping an eye on his work. He he does some pretty cool stuff. I love the fact that he also does Pokemon videos as well. 702. Not really. I mean, this is something I do because I actually enjoy it, man. So, it's, you know, just try to do my best to help people around because I can. And I know and I appreciate the fact that people kind of throw like roses and things like that or donations. I don't need it, man. Don't don't don't need it. Langen wrote a tuna. It's interesting you asked me that question because I think my principal and um them are coming down and I was going to see if I can hitch a ride with them to see how your timetable work but I don't know I need to actually ask them at sometime this week. Yeah, probably did. That's why I had to replace like three lenses. Dev anonymous, I've been to Deneden, but um never visited schools there. I think the the closest I got to a school was um in South Island was um Nelson. Man, of course I'm into Pokemon. Like, where's my like I actually designed a Pokemon card for my kid's birthday. So, his his invitation was actually a Pokemon card. Like, check this out. This is what I made him for his Oh, you can't even see it, can you? Can you see it? Hang on. Wait, let me just go back here. Yeah. So, that was the Pokemon card. And then that literally was his birthday invitation. That was a lot of fun making that. Uh, when is the next live? Next live. Next live. I think it's to tomorrow is Tuesday, right? Yeah, I've got it on tomorrow. Yeah, guys, check the schedule and then you should be good to go. Scholarships, calculus, and statistics. Not me. Pass. I cannot help you in that at all. Uh, Langzhen, I don't know. I love love playing um the Pokemon games, so it's actually good. Jackson, you can find it on Tik Tok. You can find it on all of my socials on YouTube. If you just go into posts or or on just my main Tik Tok page, you'll find it there as well. New way to Asgard. Lamar Jackson edit. I don't even know what that is. All right, team. Look, uh, thank you so much for hanging out, but um, I will leave you guys to it. It's time for me to go get to do some other work. Uh, so yeah, I'll catch you level twos. Um, when will I catch you guys? I'll catch you guys soon. I think next week sometime. But, um, yeah, I'll I'll be on both channels at 8:00 and and um, yeah, look after yourselves. Uh, take care and as always, thank you for watching. Put your hand around the camera for the edit. All right, fine. Here we go. Is that better? No, actually, let's go all the way. No, wait. I got two cameras. Wait, let's try that. Wait to end stream. Oh man, that's too much work. Okay, fine. Okay, let's try this. Okay, see you guys later. Oh, don't forget. Thank you for watching. No, I can't get this right. It's too hard. It's doesn't work. See you.