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Single Variable Calculus

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Moderate

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

SVCALC-WAAV1E

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

A

$cos(x)$

B

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

C

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

D

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