AP

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

Problem

If y=xsin⁡xy=x^{\sin x}, then dydx=\frac{dy}{dx}= (a) [xcos⁡x⋅log⁡x+sin⁡xx]xsin⁡x\left[\frac{x\cos x\cdot\log x+\sin x}{x}\right]x^{\sin x} (b) y[xcos⁡x⋅log⁡x+cos⁡x]x\frac{y[x\cos x\cdot\log x+\cos x]}{x} (c) y[xsin⁡x⋅log⁡x+cos⁡x]y[x\sin x\cdot\log x+\cos x] (d) None of these

Related theory

Browse the problem library