Solve this following

Question:

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

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

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

B. $(\sin \mathrm{x} \cos \mathrm{x}) \cdot \mathrm{x}^{(\sin \mathrm{x}-1)}$

C. $x^{\sin x}\left\{\frac{\sin x+x \log x \cdot \cos x}{x}\right\}$

D. none of these

Solution:

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