AP®︎ Calculus BC: Topic 3.3 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 3.3 of AP Calculus BC – Differentiating Inverse Functions.


Questions List

Topic 3.3

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12

Question 1 Easy

Let ff be a differentiable, one-to-one function, and let gg be its inverse. Suppose gg is differentiable at aa.

Which expression equals g′(a)g'(a)?

A1f′(g(a))\dfrac{1}{f'(g(a))}
B1f′(a)\dfrac{1}{f'(a)}
Cf′(g(a))f'(g(a))
Df′(a)f'(a)

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus BC Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.

Topic 3.3: Differentiating Inverse Functions

Learning Objective: FUN-3.E

Calculate derivatives of inverse and inverse trigonometric functions.

Essential Knowledge: FUN-3.E.1

The chain rule and definition of an inverse function can be used to find the derivative of an inverse function, provided the derivative exists.