# Extremum, Increase and Decrease Sections – Calculate global Extremum Points – Exercise 2225

Exercise

Find global extremum points to the function

$$f(x)=xe^{-x^2}$$

In the interval

$$(-\infty, \infty)$$

$$(\sqrt{\frac{1}{2}},\frac{1}{\sqrt{2e}}),(-\sqrt{\frac{1}{2}},\frac{-1}{\sqrt{2e}})$$