Write the points of non-differentiability of `f(x)=|log|x||` .

Explanation

To find the points of non-differentiability of the function \( f(x) = |\log|x|| \), we will analyze the function step by step.

### Step 1: Identify the domain of the function
The function \( f(x) = |\log|x|| \) involves the logarithm function, which is defined for positive arguments. Therefore, we need to consider the absolute value of \( x \) to ensure that the logarithm is defined.

- For \( x > 0 \), \( f(x) = \log(x) \).
- For \( x < 0 \), \( f(x) = \log(-x) \).
- The function is undefined at \( x = 0 \).
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