Differentiate `x^x` with respect to `xlogx` .

Explanation

To differentiate \( x^x \) with respect to \( x \log x \), we will follow these steps:

### Step 1: Define the Functions
Let:
- \( u = x^x \)
- \( v = x \log x \)

### Step 2: Differentiate \( u \)
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