1.

\[\frac{d}{dx}\{{{(\sin x)}^{x}}\}\]=                    [DSSE 1985, 87; AISSE 1983]

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


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