In: Math
Consider the equation below. (If an answer does not exist, enter DNE.)
f(x) = e^(3x) + e^(−x)
(a)
Find the interval on which f is increasing. (Enter your answer using interval notation.)
Find the interval on which f is decreasing. (Enter your answer using interval notation.)
(b)
Find the local minimum and maximum values of f.
local minimum value
local maximum value
(c)
Find the inflection point. (x, y) =
Find the interval on which f is concave up. (Enter your answer using interval notation.)
Find the interval on which f is concave down. (Enter your answer using interval notation.)