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mean value theorem |
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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. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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