1. Calculus Foundations

Derivatives Basics — Quiz

Test your understanding of derivatives basics with 5 practice questions.

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Practice Questions

Question 1

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

Question 2

If $f(x) = x^4 - 4x^2$, what are the critical points of the function?

Question 3

What does the second derivative test indicate about a function at a critical point?

Question 4

If $f(x) = \frac{1}{x}$, what is $f'(x)$?

Question 5

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