Differentiate ` (e^(x) sin x + x^(p) cos x)`

Explanation

To differentiate the function \( y = e^x \sin x + x^p \cos x \), we will apply the product rule and the basic differentiation formulas. Let's go through the solution step by step.

### Step 1: Identify the components of the function
We have two parts in our function:
1. \( u = e^x \) and \( v = \sin x \) for the first term \( e^x \sin x \).
2. \( u = x^p \) and \( v = \cos x \) for the second term \( x^p \cos x \).

### Step 2: Differentiate the first term \( e^x \sin x \)
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