Differentiate the following with respect of `x : e^x(x+logx)`

Explanation

To differentiate the function \( y = e^x (x + \log x) \) 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:

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

### Step-by-Step Solution:

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