Posted by **Yoona** on Monday, January 2, 2012 at 1:55pm.

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.

- calculus -
**Steve**, Monday, January 2, 2012 at 4:56pm
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.

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