Quiz for:
Understanding Derivatives and Their Rules

Question 1

What is the derivative of sqrt(x) using rational exponents?

Question 2

What is the derivative of a constant function, and why?

Question 3

Which of the following is the derivative of sec(x)?

Question 4

Which rule is used to differentiate the function x^2 * sin(x)?

Question 5

What is the derivative of the constant multiple function 8x^4?

Question 6

What is the derivative of tan(x)?

Question 7

How is the derivative of a function defined using limits?

Question 8

For the function f(x) = 3x^4 - 5x + 2, what is f'(x)?

Question 9

What does the notation d/dx represent?

Question 10

What is the derivative of x^3 + 7x^2 - 8x + 6?

Question 11

Using the power rule, what is the derivative of x^7?

Question 12

For a function f(x) = x^2, what is the slope of the tangent line at x = 1?

Question 13

What operation is performed by the quotient rule?

Question 14

What is the derivative of (5x + 6)/(3x - 7) using the quotient rule?

Question 15

What does the product rule formula (f * g)' = f'g + fg' apply to?