AP®︎ Calculus AB: Topic 3.4 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 3.4 of AP Calculus AB – Differentiating Inverse Trigonometric Functions.

Questions List

Topic 3.4

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12
Q13
Q14

Question 1 Easy

ddx[sin⁡−1x]=\dfrac{d}{dx}\left[\sin^{-1}x\right] =

A1cos⁡x\dfrac{1}{\cos x}
B11+x2\dfrac{1}{\sqrt{1+x^2}}
C11−x2\dfrac{1}{\sqrt{1-x^2}}
D11+x2\dfrac{1}{1+x^2}

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 3.4: Differentiating Inverse Trigonometric Functions

Learning Objective: FUN-3.E

Calculate derivatives of inverse and inverse trigonometric functions.

Essential Knowledge: FUN-3.E.2

The chain rule applied with the definition of an inverse function, or the formula for the derivative of an inverse function, can be used to find the derivatives of inverse trigonometric functions.

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