# How do you find the critical numbers for #f(x)= (x-1) e^x# to determine the maximum and minimum?

##### 1 Answer

Feb 28, 2017

The only critical point is for

#### Explanation:

Critical points are found by equating the first derivative to zero:

Solving:

the only critical point is

Now consider that:

We have then that

graph{(x-1)e^x [-10, 10, -5, 5]}