1.

If \[y={{x}^{\sin x}},\]then \[\frac{dy}{dx}=\]                                                               [DSSE 1983, 84]

A.            \[\frac{x\cos x.\log x+\sin x}{x}.{{x}^{\sin x}}\]
B.            \[\frac{y[x\cos x.\log x+\cos x]}{x}\]
C.            \[y[x\sin x.\log x+\cos x]\]
D.            None of these
Answer» B.            \[\frac{y[x\cos x.\log x+\cos x]}{x}\]


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