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

Classify the local extrema of f(x) = x/2 + cos(x), 0 <= x <= 2pi. Give the exact values of the critical numbers and extrema. Find the absolute (or global) maximum and minimum values of the function.

3. The attempt at a solution

So i need to find the critical numbers first right? Take the derivative..

f'(x) = 1/2 - sin(x)

set equal to zero..

0 = 1/2 - sin(x) -> 1/2 = sin(x) how do i find x?

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# Critical Numbers, local extrema, max/min

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