(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the maximum and minimum values of the function f(x) = 2sin^{2}x-2sinx on the interval [-pi, pi]]

2. Relevant equations

first derivative

3. The attempt at a solution

f'(x) = 4sinxcosx-2cosx

0 = 2cosx (2sinx-1)

0 = 2sinx-1, sinx = 1/2, x = pi/6, 5pi/6

0 = 2cosx, cosx = 0, x = pi/2

I got that MIN = -0.5 (plugged pi/6 and 5pi/6 into the original function) but I can't seem to find where MAX @4 is.

Thank you!

Thank you!

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# Homework Help: Find the max and min values

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