Differentiate w.r.t. x the function `(logx)^(logx), x >1`

Explanation

To differentiate the function \( y = (\log x)^{\log x} \) with respect to \( x \), we can follow these steps:

### Step 1: Take the natural logarithm of both sides
We start by taking the logarithm of both sides to simplify the differentiation process:
\[ \log y = \log((\log x)^{\log x}) \]

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