The interval in which `y=x^2e^(-x)`is increasing is(A) `(-oo, oo)` (B) ( 2, 0) (C) `(2,oo)` (D) (0, 2)

Explanation

To determine the interval in which the function \( y = x^2 e^{-x} \) is increasing, we need to find the derivative of the function and analyze its sign.

### Step 1: Find the derivative \( y' \)

Using the product rule for differentiation, where \( u = x^2 \) and \( v = e^{-x} \):

\[
y' = u'v + uv'
...