Differentiate the following with respect of `x : e^xsinx+x^ncosx`

Explanation

To differentiate the function \( f(x) = e^x \sin x + x^n \cos x \) with respect to \( x \), we will use the product rule and the sum rule of differentiation. Let's go through the steps one by one.

### Step 1: Identify the function
We have:
\[ f(x) = e^x \sin x + x^n \cos x \]

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