Solve this following


Mark $(\sqrt{ })$ against the correct answer in the following:

If $y=(\sin x)^{\log x}$ then $\frac{d y}{d x}=?$

A. $(\log x) \cdot(\sin x)^{(\log x-1)} \cdot \cos x$

B. $(\sin x)^{\log x} \cdot\left\{\frac{x \log x+\log \sin x}{x}\right\}$

C. $(\sin x)^{\log x} \cdot\left\{\frac{(x \log x) \cot x+\log \sin x}{x}\right\}$

D. none of these


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