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      • A high point is called a maximum (plural maxima). A low point is called a minimum (plural minima). The general word for maximum or minimum is extremum (plural extrema). We say local maximum (or minimum) when there may be higher (or lower) points elsewhere but not nearby.
      www.mathsisfun.com/calculus/maxima-minima.html

      Finding Maxima and Minima using Derivatives - Math is Fun

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  3. en.wikipedia.org › wiki › Maximum_and_minimumMaximum and minimum - Wikipedia

    Definition. A real-valued function f defined on a domain X has a global (or absolute) maximum point at x∗, if f(x∗) ≥ f(x) for all x in X. Similarly, the function has a global (or absolute) minimum point at x∗, if f(x∗) ≤ f(x) for all x in X.

  4. www.cuemath.com › calculus › maxima-and-minimaMaxima and Minima - Definition, Types, Graph, Examples - Cuemath

    Absolute maxima: A point x = a is a point of global maximum for f(x) if f(x) ≤ f(a) for all x∈D (the domain of f(x)). Absolute minima: A point x = a is a point of global minimum for f(x) if f(x) ≥ f(a) for all x∈D (the domain of f(x)).

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  6. www.mathsisfun.com › algebra › functions-maximaMaxima and Minima of Functions - Math is Fun

    Global (or Absolute) Maximum and Minimum. The maximum or minimum over the entire function is called an "Absolute" or "Global" maximum or minimum. Assuming this function continues downwards to left or right: The Global Maximum is about 3.7; There is no Global Minimum (as the function extends infinitely downwards) Calculus

  7. math.stackexchange.com › questions › 79437calculus - Difference between maximum and minimum ...

    Nov 6, 2011 · The Extreme Value Theorem guarantees that a continuous function on a finite closed interval has both a maximum and a minimum, and that the maximum and the minimum are each at either a critical point, or at one of the endpoints of the interval.

  8. www.mathsisfun.com › calculus › maxima-minimaFinding Maxima and Minima using Derivatives - Math is Fun

    A high point is called a maximum (plural maxima). A low point is called a minimum (plural minima). The general word for maximum or minimum is extremum (plural extrema). We say local maximum (or minimum) when there may be higher (or lower) points elsewhere but not nearby.

  9. math.libretexts.org › Bookshelves › Calculus4.1: Maximum and Minimum Values - Mathematics LibreTexts

    Nov 10, 2020 · A function may have both an absolute maximum and an absolute minimum, have just one absolute extremum, or have no absolute maximum or absolute minimum. If a function has a local extremum, the point at which it occurs must be a critical point.

  10. tutorial.math.lamar.edu › Classes › CalcICalculus I - Minimum and Maximum Values - Pauls Online Math Notes

    Nov 16, 2022 · A relative maximum or minimum is slightly different. All that’s required for a point to be a relative maximum or minimum is for that point to be a maximum or minimum in some interval of \(x\)’s around \(x = c\).