3. Differential Calculus I

Product And Quotient Rules — Quiz

Test your understanding of product and quotient rules with 5 practice questions.

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Practice Questions

Question 1

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

Question 2

Which formula gives the quotient rule for $\frac{d}{dx}\left(\frac{u(x)}{v(x)}\right)$?

Question 3

What is the derivative of $y=x^2\sin x$?

Question 4

What is the derivative of $y=\frac{x^2+1}{x}$?

Question 5

What is the derivative of $y=x^3e^x$?