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Single Variable Calculus

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Moderate

Log Differentiation with $x$ to the Power of Sine Function

SVCALC-SLNAXY

Find derivative of the function $y=x^{\sin(x)}$.

A

$\sin x$

B

$ x^{\sin(x)}(\cos{x}\ln{x} + \sin{x} \cfrac{1}{x})$

C

$\sin(x) x^{sin(x)-1}$

D

$ x^{\sin(x)}(\cos{x}\ln{x} - \sin{x} \cfrac{1}{x})$