# Homework Help: Finding maximumx and minimums

1. Nov 23, 2008

### ryan.1015

1. The problem statement, all variables and given/known data

find the maxima and minima of the function f(x)=2cos3x + 3sin2x on the interval (-pie, pie)

2. Relevant equations

3. The attempt at a solution

2. Nov 23, 2008

### Pere Callahan

You must show your work, before we can help you. What have you tried> Maybe something involving the derivative?

3. Nov 23, 2008

### ryan.1015

im not sure if i did the derivative right. i got -2sin3x+ 3cosx as the first derivative

4. Nov 23, 2008

### Staff: Mentor

I'm sure that you didn't. You need to use the chain rule. Your answer should start with "f'(x) = "

5. Nov 24, 2008

### ElectroPhysics

pere callahan and mark44, is the following statement right..
find derivative of f(x) as below
f'(x) = -6sin(3x) + 6cos(2x)
now solve it by equating to zero. then find critical points. from these points and end points (pie and -pie) find the absolute maxima and minima & relative maxima and minima

6. Nov 24, 2008

### Pere Callahan

It is.

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