Question

2. Consider the function f defined by f(x)=(e^X)cosx with domain[0,2pie] .
a. Find the absolute maximum and minimum values of f(x)
b. Find the intervals on which f is increasing.
c. Find the x-coordinate of each point of inflection of the graph of f.

Answer 1

first, it's pi, not pie

f = e^x cosx
f' = e^x (cosx - sinx)
f'' = -2e^x sinx

max/min where f' = 0 and f'' not zero
f increasing where f' > 0
inflection at f'' = 0

Come back if you get stuck and show us what happened.