Let . What is ? Express your answer…

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

Problem

Let f(x)=arccos⁡(2x)f(x)=\arccos(2x). What is f′(13)f'(\tfrac{1}{3})? Express your answer exactly. (a) −35-\dfrac{3}{\sqrt{5}} (b) 65\dfrac{6}{\sqrt{5}} (c) −65-\dfrac{6}{\sqrt{5}} (d) −67-\dfrac{6}{\sqrt{7}}

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