Which of the following is the derivative of for ?

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

Which of the following is the derivative of y=arccos⁡xy=\arccos x for −1<x<1-1<x<1? (a) 11−x2\dfrac{1}{\sqrt{1-x^{2}}} (b) 1−x2\sqrt{1-x^{2}} (c) −11−x2-\dfrac{1}{\sqrt{1-x^{2}}} (d) 11+x2\dfrac{1}{\sqrt{1+x^{2}}}

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