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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 -

    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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