3. Differentiation

Product And Quotient Rules — Quiz

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

Practice Questions

Question 1

Differentiate $f(x) = (x^2 + 5)(3x - 4)$ using the Product Rule.

Question 2

Find the derivative of $y = \frac{(x^2 + 1)(x - 2)}{x}$ using the Quotient Rule.

Question 3

Differentiate $f(x) = (x^3 - 2)(x^2 + 4)$ using the Product Rule.

Question 4

If $y = \frac{x^3 + 2x}{x^2 - 1}$, find $\frac{dy}{dx}$ using the Quotient Rule.

Question 5

Differentiate $y = (2x + 1)(x^2 - 3)$ using the Product Rule.