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Extreme Value Theorem

  • Definition: If a function f(x) is continuous on a closed interval [a,b], then f(x) has both a maximum and a minimum on [a,b]. If f(x) has an extremum on an open interval (a,b), then the extremum occurs at a critical point.

    Source: http://mathworld.wolfram.com

  • Listed under: Calculus, Field Of Topology, Multivariable Calculus

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