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单词 mean value theorem
释义 mean value theorem
[`mēn `val·yü ´thir·ǝm]
MATHEMATICS
The proposition that, if a function f(x) is continuous on the closed interval [a,b ] and differentiable on the open interval (a,b ), then there exists x0, a<x0<b, such that f (b )-f (a )=(b-a )f'(x0). Also known as first law of the mean; Lagrange's formula; law of the mean.
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