Chapter 5.1, Problem 33E

To determine

(a)

To find:

The critical number for the function $f\left(x\right)=x^2{2}^{-x}$.

To determine

(b)

To find:

The open intervals where the function $f\left(x\right)=x^2{2}^{-x}$ is increasing.

To determine

(c)

To find:

The open intervals where the function $f\left(x\right)=x^2{2}^{-x}$ is decreasing.