摘要
国内各教科书在讲述微分中值定理时,其中有一个公共的条件是:在开区间(a.b)内可导,而文献[1]对此进行了推广,从而使微分中值定理在应用的范围上有了很大的拓广,本文首先介绍了拓广后的微分中值定理.其次主要在几何意义上给以探讨.
In books of advanced calculus of our country,there is a common condition that the function is derivable in open interval(a,b)in the mean-value theorems of differentiation. Tom M.Apostal extended this condition and the domain of application of the theorems in 1975.In this article,we first introduce the extended mean-value theorems of differentiation,then research the geometric meanings of the theorems.
关键词
微分中值定理
推广形式
几何意义
mean-value theorem of differentiation
RoUe mean-value theorem of differentiation
Lagrange mean-value theorem
Cauchy mean-value theorem
