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The largest and the smallest element of a set are called extreme values, absolute extrema, or extreme records.
For a differentiable function f, if f(x0) is an extreme value for the set of all values f(x), and if x0 is in the interior of the domain of f, then x0 is a critical point, by Fermat's theorem.
|Includes CC-BY-SA content from Wikipedia's Extreme value article (authors)|