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# mean value theorem

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noun Mathematics.

the theorem that for a function continuous on a closed interval and differentiable on the corresponding open interval, there is a point in the interval such that the difference in functional values at the endpoints is equal to the derivative evaluated at the particular point and multiplied by the difference in the endpoints.

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Also called law of the mean, theorem of the mean.

## Origin of mean value theorem

First recorded in 1900–05

## Words nearby mean value theorem

meantime, mean to, meantone system, mean-tone tuning, mean value, mean value theorem, meanwhile, Meany, Mearns, meas., measle

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2022