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

Explanation

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

\[ \frac{d}{dx}(uv) = u \frac{dv}{dx} + v \frac{du}{dx} \]

In our case, we can identify:
- \(u = e^x\)
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