Differentiate `e^xlogx` with respect to `x` :

Explanation

To differentiate the function \( e^x \log x \) with respect to \( x \), we will use the product rule of differentiation.

### Step-by-Step Solution:

1. **Identify the Functions**:
Let \( u = e^x \) and \( v = \log x \).

2. **Differentiate Each Function**:
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