3. Differentiation(COLON) Composite, Implicit, and Inverse Functions

The Chain Rule — Quiz

Test your understanding of the chain rule with 5 practice questions.

Practice Questions

Question 1

If $y=(3x^2-1)^5$, what is $\frac{dy}{dx}$?

Question 2

If $y=\sin(4x)$, what is $\frac{dy}{dx}$?

Question 3

If $f(x)=\sqrt{2x+5}$, what is $f'(x)$?

Question 4

If $y=(x^2+1)^3$, what is $\frac{dy}{dx}$?

Question 5

If $y=\ln(5x-2)$, what is $\frac{dy}{dx}$?