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AP®︎ Calculus AB: 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 AB – Differentiating Inverse Functions.

Questions List

Topic 3.3

Q10

Question 1 Easy

Let $f$ be a differentiable, invertible function, and let $g$ be the inverse function of $f$ . Suppose $f(3)=7$ and $f'(3)=4$ .

Which of the following gives the values of $g(7)$ and $g'(7)$ ?

g(7)=3

and

g'(7)=4

g(7)=3

and

g'(7)=\frac{1}{4}

g(7)=\frac{1}{7}

and

g'(7)=\frac{1}{4}

g(7)=\frac{1}{7}

and

g'(7)=4

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus AB 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.

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AP®︎ Calculus AB: Topic 3.3 Practice Test

Question 1 Easy

What You’re Being Tested On:

Learning Objective FUN-3.E: FUN-3.E.1