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
Correct Answer: A
Solution :
\[y={{x}^{\sin x}}\Rightarrow {{\log }_{e}}y=\sin x{{\log }_{e}}x\] \[=49m/\sec \] \[={{x}^{\sin x}}\left[ \frac{\sin x+x\cos x{{\log }_{e}}x}{x} \right]\].
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