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maxima and minima
Sign in to saveAlso known as minima and maxima, variable's extreme values, extrema, extremum
largest and smallest value taken by a function in a given range
Maxima and minima refer to the largest and smallest values that a function reaches within a given range. Understanding where these extreme values occur matters because it helps solve practical problems, from finding the best profit in a business to determining the safest design in engineering.
AI-generated from the Wikipedia summary — may contain errors.
In the Vinony graph
Within Vinony's link graph, maxima and minima is referenced by 638 other articles, and connects out to derivative test, partially ordered set and infimum and supremum.
It sits within the topics Calculus, Mathematical analysis and Mathematical optimization.
Its subject is documented across 54 Wikipedia language editions.
Wikidata facts
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- critical point
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- Extrema example.svg
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- Extrema (calculus)
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- WikiProject Mathematics
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Encyclopedic overview
Local and global maxima and minima for cos(3πx)/x, 0.1≤ x ≤1.1 Global and local extremums of a function.
In mathematical analysis, the maximum and minimum of a function are, respectively, the greatest and least value taken by the function. Known generically as extrema, they may be defined either within a given range (the local or relative extrema) or on the entire domain (the global or absolute extrema) of a function. Pierre de Fermat was one of the first mathematicians to propose a general technique, adequality, for finding the maxima and minima of functions.
Excerpted from Wikipedia’s “maxima and minima” article, available under the CC BY-SA 4.0 licence.