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Problem 41 Hard Difficulty

Find the critical numbers of the function.

$ f(\theta) = 2 \cos \theta + \sin^2 \theta $

Answer

$\theta=\pi^{n}$

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Alex O.

June 25, 2020

amrita, I get so dissapointed when I look at the tutor list for a section and see your name on it. You have no business tutoring math.

Video Transcript

The first thing we can do is take the derivative negative, too. Sign of data Plus to sign st Ah co signed data. Okay, now we know. Sign if they does the same thing, A sign of zero. Therefore, we end up with calls high end, and then we know that if co sign data is one, then we have data equals two pi ends. You can probably see a pattern here. That pattern, essentially is the all equations of the form they that equals pi end would be critical numbers because to plan is just a multiple of pie, hon.