How do you find the local extrema of a function?

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How do you find the local extrema of a function?

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Answer 1 · 2018-03-14T20:41:00

Please see below.

Explanation:

First find the critical numbers. #c# is a critical number for #f# if and only if #c# is in the domain of #f# and either #f'(c)=0# or #f'(c)# does not exist.

Then test the critical numbers using the first or second derivative.

Finish by finding the values of the function at points that are locations of extrema.

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How do you find the local extrema of a function?

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