“second mean-value theorem”的概念、定义、翻译、参考文献-科学参考

单词	second mean-value theorem
释义	second mean-value theorem [¦sek·ǝnd ¦mēn ¦val·yü ´thir·ǝm] ^MATHEMATICS The theorem that for two functions ƒ (x ) and g(x ) that are continuous on a closed interval [a,b] and differentiable on the open interval (a,b ), such that g(b ) ≠ g(a ), there exists a number x₁ in (a,b ) such that either [ƒ (b ) - ƒ (a )]/[g(b ) - g(a )] = ƒ '(x₁)/g'(x₁) or ƒ '(x₁) = g'(x₁) = 0. Also known as Cauchy's mean-value theorem; double law of the mean; extended mean-value theorem; generalized mean-value theorem.
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