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mean value theorem

   Also found in: Acronyms, Wikipedia 0.06 sec.
mean value theorem [′mēn ′val·yü ‚thir·əm]
(mathematics)
The proposition that, if a function ƒ(x)is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), then there existsx0,a<x0<b, such that ƒ(b) - ƒ(a) = (b-a)ƒ′(x0). Also known as first law of the mean; Lagrange's formula; law of the mean.


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5) and the Mean Value Theorem, we have for some [[zeta].
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