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

A

$\sin^x(x)(\ln(\sin(x))+ x \cot(x))$

B

$\sin^x(x)(\ln(\sin(x)) - x \cot(x))$

C

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

D

$\ln(y)=\ln(\sin^x(x))$

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