Apentix/AP Calculus AB/Unit 3: Differentiation: Composite, Implicit, and Inverse Functions/Question
AP Calculus ABeasymcq1 pt

Which of the following is ddx[arccos⁡x]\dfrac{d}{dx}\left[\arccos x\right]?

A.11−x2\dfrac{1}{\sqrt{1-x^2}}
B.−1x2−1-\dfrac{1}{\sqrt{x^2-1}}
C.−11−x2-\dfrac{1}{\sqrt{1-x^2}}
D.11+x2\dfrac{1}{1+x^2}

Explanation

Core Concept

The derivative of arccos⁡x\arccos x is the standard formula −11−x2-\frac{1}{\sqrt{1-x^2}}, valid for −1<x<1-1<x<1.

Correct Answer

C−11−x2-\dfrac{1}{\sqrt{1-x^2}}

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