**Function (X+2) e^ -3X. Find intervals where it is increasing and decreasing. Find the extreme values and indicate the max or min.**

Here is my best attempt at this problem:

**Y= (X+2) e^ -3X**

Y' = (e^-3X) + (X+2) ((e^-3x)(-3)

Y' = (e^-3X) + (X+2) ((e^-3x)(-3)

**Y' = (e^-3X) (1+ (-3(X+2))**

**Y' = (e^-3X) (1- 3X-6))**

**Y' = -(e^-3X) (3X+5)**

Now I am stuck. I don't know what to do.

The only thing I can think of is trying to find a value for

**X**that would cause

**Y' = 0**, but I haven't been able to do that.

Can anyone help me?