If , then…

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

Problem

If y=tan⁡−1(log⁡(e/x2)log⁡(ex2))+tan⁡−1(3+2log⁡x1−6log⁡x)y = \tan^{-1} \left( \frac{\log(e/x^2)}{\log(ex^2)} \right) + \tan^{-1} \left( \frac{3+2\log x}{1-6\log x} \right), then d2ydx2\frac{d^2 y}{dx^2} is (a) 2 (b) 1 (c) 0 (d) -1

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