Find the derivative of the function `(x.e^(x))` with respect 'x'.

Explanation

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

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

where \( u' \) is the derivative of \( u \) and \( v' \) is the derivative of \( v \).

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