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
Correct Answer: A
Solution :
Let\[y={{e}^{x\sin x}}\]Þ \[\log y=x\sin x\] \[\therefore \frac{1}{y}\frac{dy}{dx}=\sin x+x\cos x\]or \[\frac{dy}{dx}={{e}^{x\sin x}}(\sin x+x\cos x)\].You need to login to perform this action.
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