Write the value of `d/(dx)(log|x|)`.

Explanation

To find the derivative of the function \( f(x) = \log |x| \), we can follow these steps:

### Step 1: Understand the function
The function \( f(x) = \log |x| \) is defined for all \( x \) except \( x = 0 \). The absolute value function \( |x| \) behaves differently depending on whether \( x \) is positive or negative.

### Step 2: Split the function based on the sign of \( x \)
1. For \( x > 0 \):
\[
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