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 …

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 …

Extrema refer to the maximum and minimum values of a function, and they can be categorized into two types: global (or absolute) extrema and local (or relative) extrema.

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 …

Unit 13: Extrema Lecture 13.1. The task to maximize or minimize a function f appears often in applications. As in single variable calculus, the strategy is to look for points, where the …

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

So to find a function's extrema, we should definitely check the behavior of the function at all of its critical values.

Extrema, also known as extreme points, are the maximum and minimum values of a function. They play an important role in calculus, optimization problems, and real-world applications.

Dec 3, 2025 · Functions with many extrema can be very difficult to graph. Notorious examples include the functions and near , plotted above. Another pathological example is near 0 and 1, …