5. Calculus

Product Rule — Quiz

Test your understanding of product rule with 5 practice questions.

Practice Questions

Question 1

What is the derivative of $f(x)=x^2\sin x$?

Question 2

Which formula correctly states the product rule for $\frac{d}{dx}[u(x)v(x)]$?

Question 3

Find $\frac{d}{dx}[x^3\cos x]$.

Question 4

If $f(x)=(2x+1)(x-4)$, what is $f'(x)$?

Question 5

What is the derivative of $f(x)=x^2e^x$?