3. Calculus Foundations

Derivatives — Quiz

Test your understanding of derivatives with 5 practice questions.

Practice Questions

Question 1

What is the derivative of the function $f(x) = 3x^2 - 5x + 4$?

Question 2

Find the derivative of $g(x) = 4x^3 - 2x + 7$.

Question 3

Using the product rule, find the derivative of $h(x) = (2x + 3)(x^2 - 1)$.

Question 4

Find the derivative of $k(x) = \frac{x^2 - 3x + 2}{x - 1}$ using the quotient rule.

Question 5

If $p(x) = \sin(x) \cdot x^2$, what is $p'(x)$ using the product rule?