If , then…

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

Problem

If y=esin⁡(ln⁡x)y=e^{\sin(\ln x)}, then dydx\dfrac{dy}{dx} equals (a) esin⁡(ln⁡x)x\dfrac{e^{\sin(\ln x)}}{x} (b) eln⁡xcos⁡(ln⁡x)e^{\ln x}\cos(\ln x) (c) esin⁡(ln⁡x)cos⁡(ln⁡x)x\dfrac{e^{\sin(\ln x)}\cos(\ln x)}{x} (d) esin⁡(ln⁡x)cos⁡(ln⁡x)e^{\sin(\ln x)}\cos(\ln x)

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