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AP®︎ Calculus BC: Topic 3.1 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 3.1 of AP Calculus BC – The Chain Rule.

Questions List

Topic 3.1

Q10

Q11

Q12

Q13

Q14

Q15

Q16

Q17

Q18

Question 1 Easy

Let $h(x)=\cos(x^2+1)$ . If $h(x)=f(g(x))$ , which of the following could be $f$ and $g$ ?

f(x)=\cos(x^2)

and

g(x)=x+1

f(x)=\cos x

and

g(x)=x^2+1

f(x)=\cos x+1

and

g(x)=x^2

f(x)=x^2+1

and

g(x)=\cos x

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 3.1: The Chain Rule

Learning Objective: FUN-3.C

Calculate derivatives of compositions of differentiable functions.

Essential Knowledge: FUN-3.C.1

The chain rule provides a way to differentiate composite functions.

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AP®︎ Calculus BC: Topic 3.1 Practice Test

Question 1 Easy

What You’re Being Tested On:

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