Let $y = e^{x sin x}$ then find the derivative of $y$ with respect to $x$ .

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Solution

Given,
$y = e^{x sin x}$ .
Now differentiating both sides with respect to $x$ we get,
$\frac{d y}{d x} = e^{x sin x} {x cos x + sin x}$ .
This is the required derivative of $y$ with respect to $x$ .

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