# Is #f(x)=xe^x-x^2e^x # increasing or decreasing at #x=0 #?

##### 1 Answer

Jun 17, 2016

#### Explanation:

To find whether a function is increasing or decreasing at a point, we should find the value of its derivative at that point. If the derivative is positive, it is increasing and if it is negative, it is decreasing.

As

and at

as it is positive,

graph{xe^x-x^2e^x [-5, 5, -2.5, 2.5]}