3. Differential Calculus I

Chain Rule — Quiz

Test your understanding of chain rule with 5 practice questions.

Practice Questions

Question 1

What is the chain rule for a composite function $y=f(g(x))$?

Question 2

Differentiate $y=(3x+2)^5$.

Question 3

Differentiate $y=\sin(4x)$.

Question 4

Differentiate $y=e^{x^2}$.

Question 5

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