# What are the critical points of #f (x) = e^x + e^-(6x)#?

##### 1 Answer

Dec 23, 2015

#### Explanation:

A critical point

To find

Now, we have to know for what values of

An easy way to do this is to turn it into a fraction—if a fraction,

#e^(7x)=6#

#7x=ln6#

#x=(ln6)/7#

This is a critical value.

Thus, the only critical point is

graph{e^x+3^(-6x) [-10.04, 9.96, -5.04, 4.96]}