# What are the critical points of f(x) = x^2e^x + 2/x^2?

Jan 10, 2018

There is one critical number. It is approximately #0.873

#### Explanation:

$f ' \left(x\right) = 2 x {e}^{x} + {x}^{2} {e}^{x} - \frac{4}{x} ^ 3$

Using approximation or technology, we find that

$f ' \left(x\right) = 0$ at about $0.873$