Here's the question:
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) (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?