\[\frac{d}{dx}\{{{(\sin x)}^{\log x}}\}=\] [DSSE 1984]

\[{{(\sin x)}^{\log x}}\left[ \frac{1}{x}\log \sin x+\log x \right]\]

\[{{(\sin x)}^{\log x}}\left[ \frac{1}{x}\log \sin x+\cot x \right]\]

\[{{(\sin x)}^{\log x}}\left[ \frac{1}{x}\log \sin x+\cot x\log x \right]\]

\[\frac{d}{dx}\{{{(\sin x)}^{\log x}}\}=\]

1.	\[\frac{d}{dx}\{{{(\sin x)}^{\log x}}\}=\] [DSSE 1984]
A.	\[{{(\sin x)}^{\log x}}\left[ \frac{1}{x}\log \sin x+\cot x \right]\]
B.	\[{{(\sin x)}^{\log x}}\left[ \frac{1}{x}\log \sin x+\cot x\log x \right]\]
C.	\[{{(\sin x)}^{\log x}}\left[ \frac{1}{x}\log \sin x+\log x \right]\]
D.	None of these
Answer» C. \[{{(\sin x)}^{\log x}}\left[ \frac{1}{x}\log \sin x+\log x \right]\]

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\[\frac{d}{dx}\{{{(\sin x)}^{\log x}}\}=\] [DSSE 1984]

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