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