Find `dy/dx` if `y=e^x sin x`

Explanation

To find the derivative \( \frac{dy}{dx} \) of the function \( y = e^x \sin x \), we will use the product rule of differentiation. The product rule states that if you have a function that is the product of two functions, say \( u \) and \( v \), then the derivative \( \frac{dy}{dx} \) is given by:

\[ \frac{dy}{dx} = u \frac{dv}{dx} + v \frac{du}{dx} \]

### Step 1: Identify \( u \) and \( v \)
Let:
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