Differentiate the following w.r.t. x:
`log(logx), x >1`

Explanation

To differentiate the function \( f(x) = \log(\log x) \) with respect to \( x \), we will use the chain rule. Here are the steps:

### Step 1: Identify the outer and inner functions
We have:
- Outer function: \( u = \log(v) \) where \( v = \log x \)
- Inner function: \( v = \log x \)

### Step 2: Differentiate the outer function
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