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The difference between maxima and minima in mathematics

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Answered by Worldexpert
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In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relativeextrema) or on the entire domain of a function (the global or absoluteextrema).[1][2][3] Pierre de Fermat was one of the first mathematicians to propose a general technique, adequality, for finding the maxima and minima of functions.

As defined in set theory, the maximum and minimum of a set are the greatest and least elements in the set, respectively. Unbounded infinite sets, such as the set of real numbers, have no minimum or maximum.


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Answered by ayushpandey34
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the maximum and minimumof a function are the largest and smallest value that the function takes at a given point. Together they are known as the extrema (singular: extremum). Minimum means the least you can do of something. ... You can do more than the minimum, but no less.

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