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

I don't have a particular problem in mind, just trying to recap a method my professor quickly skimmed over for determining whether a point is a max or a min.

I had suggested that we use the second derivative test on our critical to determine whether it is a max or a min and go from there, but he had ranted and raved that he didn't like that method and that will only determine relative max/mins not absolute max/mins.

He drew me a picture like the figure attached. I can't remember exactly what he said but it went something like this, (Maybe if I mix some things up you guys can help me clarify)

You have some curve with endpoint A and D, and two critical points B and C. Now look at the values of those points evaluated for the given function and look at the limits around those points and you should be able to see if it's a max or a min.

Can someone further clarify/explain this for me, it's still kinda confusing. An example would probably help too!

2. Relevant equations

N/A.

3. The attempt at a solution

N/A.

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# Homework Help: Determining Max/Mins, Critical Points (Conceptual)

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