Given , which of the following is…

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

Problem

Given y=arccos⁡ ⁣(1−3x1+3x)y=\arccos\!\left(\dfrac{1-3x}{1+3x}\right), which of the following is dydx\dfrac{dy}{dx}? (a) −6(1+3x)2 1−(1−3x1+3x)2-\dfrac{6}{(1+3x)^{2}\,\sqrt{1-\left(\dfrac{1-3x}{1+3x}\right)^{2}}} (b) 6(1+3x)2 1−(1−3x1+3x)2\dfrac{6}{(1+3x)^{2}\,\sqrt{1-\left(\dfrac{1-3x}{1+3x}\right)^{2}}} (c) 6(1+3x) 1−(1−3x1+3x)2\dfrac{6}{(1+3x)\,\sqrt{1-\left(\dfrac{1-3x}{1+3x}\right)^{2}}} (d) −11−(1−3x1+3x)2-\dfrac{1}{\sqrt{1-\left(\dfrac{1-3x}{1+3x}\right)^{2}}}

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