# For what values of x is #f(x)= xe^-x # concave or convex?

##### 1 Answer

Feb 5, 2017

#### Explanation:

We need to solve the inequality:

so we start by calculating the second derivative of the function:

using the product rule:

and again:

Now to solve the inequality we need to consider that:

Thus

graph{xe^(-x) [-10, 10, -5, 5]}