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

Explanation

To find the second derivative of \( y = |x - x^2| \), we first need to determine the expression for \( y \) based on the value of \( x \). The expression inside the absolute value, \( x - x^2 \), can change sign depending on the value of \( x \).

### Step 1: Determine the intervals for \( y \)

1. **Find the roots of \( x - x^2 = 0 \)**:
\[ x(1 - x) = 0 \implies x = 0 \quad \text{or} \quad x = 1 \]
...