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extremum

American  
[ik-stree-muhm] / ɪkˈstri məm /

noun

Mathematics.
  • extrema
    plural
  1. a maximum or minimum value of a function in a specified neighborhood.


Other Word Forms

Noun Inflected Forms

Etymology

Origin of extremum

1900–05; < New Latin, noun use of neuter of Latin extrēmus extreme

Vocabulary lists containing extremum

Example Sentences

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See Examples For:

Note this theorem does not claim that a function f must have a local extremum at a critical point.

From Textbooks Mar. 30, 2016

As mentioned earlier, if f has a local extremum at a point x = c, then c must be a critical point of f .

From Textbooks Mar. 30, 2016

In Figure 4.31, we show that if a continuous function f has a local extremum, it must occur at a critical point, but a function may not have a local extremum at a critical point.

From Textbooks Mar. 30, 2016

A function may or may not have a local extremum at a critical point.

From Textbooks Mar. 30, 2016

On reconsideration, however, I do not doubt that the received interpretation, which makes spatium extremum equivalent to finem, is the correct one.

From Notes and Queries, Number 211, November 12, 1853 A Medium of Inter-communication for Literary Men, Artists, Antiquaries, Genealogists, etc. by George Bell

Find the local extrema for the function graphed in Exercise 1.28.

From Textbooks Dec. 1, 2021

These are the absolute extrema of g on D as shown in the following figure.

From Textbooks Mar. 30, 2016

In these cases, how can we use a formula for a function to determine where these extrema occur?

From Textbooks Mar. 30, 2016

Note that f need not have a local extrema at a critical point.

From Textbooks Mar. 30, 2016

Observing that Fontenelle at first opposed the Newtonian philosophy, and embraced it afterwards, his words were:—"Fontenellus, ni fallor, in extrema senectute fuit transfuga ad castra Newtoniana."

From Life of Johnson, Volume 2 1765-1776 by George Birkbeck Norman Hill

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