If `y=x|x|` , find `(dy)/(dx)` for `x<0` .

Explanation

To find the derivative \(\frac{dy}{dx}\) for the function \(y = x|x|\) when \(x < 0\), we can follow these steps:

### Step 1: Understand the function \(y = x|x|\)
For \(x < 0\), the absolute value function \(|x|\) can be rewritten as:
\[ |x| = -x \]
Thus, we can express \(y\) as:
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