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

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

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

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

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