Differentiate the following with respect to x
`x^(2)e^(x) sin x `

Explanation

To differentiate the function \( f(x) = x^2 e^x \sin x \) with respect to \( x \), we will use the product rule of differentiation. The product rule states that if you have two functions \( u(x) \) and \( v(x) \), then the derivative of their product is given by:

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

In our case, we have three functions multiplied together: \( u = x^2 \), \( v = e^x \), and \( w = \sin x \). We will apply the product rule iteratively.

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