Question

A)Where is the function f(x) = e^3x + e^-x increasing? decreasing?
B) find all local extrema of f

Answer 1

or written as \[e^{3x} + e^{-x}\]
I got this as the derivative.
\[3e^{3x} - e^{-x}\]

Answer 2

are you able to factor f ' (x) ?

Answer 3

I guess i could pull out an e^x

Answer 4

you can pull out an e^(-x)

Answer 5

that's what I would factor out

Answer 6

If you aren't sure how to factor it like that, start with f ' (x)

Answer 7

then divide every term by what you want to factor out (in this case, e^(-x))