#### Question

The interval in which y = x^{2} e^{–x} is increasing is

(A) (– ∞, ∞)

(B) (– 2, 0)

(C) (2, ∞)

(D) (0, 2)

#### Solution

We have,

∴ *f* is strictly increasing on (0, 2).

Hence, *f* is strictly increasing in interval (0, 2).

The correct answer is D.

Is there an error in this question or solution?

Solution The Interval in Which Y = X2 E–X is Increasing is Concept: Increasing and Decreasing Functions.