Question

a) the intervals on which f is increasing or decreasing
b) the local maximum and minimum value of f
c) the intervals of concavity and the inflection points, if any

for f(x) = e^(2x)+e^(-x)

Answer 1

find f' first

Answer 2

then you find when f'=0
then you test the intervals around the x's such that f'=0 to see if f' is positive or negative
if you get f'>0 then f is increasing
if you get f'<0 then f is decreasing

Answer 3

Thank!