1.

\[\frac{d}{dx}{{e}^{x\sin x}}=\]                          [DSSE 1979]

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


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