AP

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

If y=log⁡x⋅e(tan⁡x+x2)y = \log x \cdot e^{(\tan x + x^2)} , then dydx=\frac{dy}{dx} = (a) e(tan⁡x+x2)[1x+(sec⁡2x+x)log⁡x]e^{(\tan x + x^2)} \left[ \frac{1}{x} + (\sec^2 x + x) \log x \right] (b) e(tan⁡x+x2)[1x+(sec⁡2x−x)log⁡x]e^{(\tan x + x^2)} \left[ \frac{1}{x} + (\sec^2 x - x) \log x \right] (c) e(tan⁡x+x2)[1x+(sec⁡2x+2x)log⁡x]e^{(\tan x + x^2)} \left[ \frac{1}{x} + (\sec^2 x + 2x) \log x \right] (d) e(tan⁡x+x2)[1x+(sec⁡2x−2x)log⁡x]e^{(\tan x + x^2)} \left[ \frac{1}{x} + (\sec^2 x - 2x) \log x \right]

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