If `y=|(log)_e x|` , find `(d^2y)/(dx^2)` .

Explanation

To find the second derivative \(\frac{d^2y}{dx^2}\) for the function \(y = |\log_e x|\), we need to analyze the function in two different intervals based on the properties of the logarithm.

### Step 1: Define the function based on the intervals
The function \(y = |\log_e x|\) can be expressed in two cases:
1. For \(0 < x < 1\), \(\log_e x < 0\) so \(y = -\log_e x\).
2. For \(x \geq 1\), \(\log_e x \geq 0\) so \(y = \log_e x\).

### Step 2: Differentiate \(y\) for \(0 < x < 1\)
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