In mathematical analysis, the maximum and minimum[a] of a function are, respectively, the greatest and least value taken by the function.

Extrema (maximum and minimum values) are important because they provide a lot of information about a function and aid in answering questions of optimality. Calculus provides a variety of tools to help …

At this point, we know how to locate absolute extrema for continuous functions over closed intervals. We have also defined local extrema and determined that if a function f has a local extremum at a point c, …

The plural of extremum is extrema and similarly for maximum and minimum. Because a relative extremum is “extreme” locally by looking at points “close to” it, it is also referred to as a local extremum.

Dec 7, 2025 · This page covers absolute and local extrema in functions, defining absolute maxima and minima within a domain and introducing the Extreme Value Theorem, which guarantees global …

The meaning of EXTREMUM is a maximum or a minimum of a mathematical function —called also extreme value.

Illustrated definition of Extrema: The smallest and largest values (within a given domain): The plural of Minimum is Minima The plural...

Extrema is the general name for maximum and minimum points. This video shows how to identify relative and absolute extrema in the graph of a function.

Notice that when a function is defined on a closed interval, an absolute extreme value may occur at the endpoint of that interval of domain, since the endpoint of the interval may yield the largest value of …

Nov 16, 2022 · It is important to understand the difference between the two types of minimum/maximum (collectively called extrema) values for many of the applications in this chapter and so we use a …