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微分中值定理的几点注释
引用本文:杨玉敏.微分中值定理的几点注释[J].鞍山师范学院学报,2010,12(6):5-9.
作者姓名:杨玉敏
作者单位:鞍山师范学院数学系;
摘    要:微分中值定理是微积分学基本定理之一,是研究函数性态的有利工具.本文首先给出了微分中值定理及其推广形式,并对中值定理中点的位置、拉格朗日中值定理、柯西中值定理和积分中值定理的关系进行了探讨.

关 键 词:连续  微分  积分

Several Comments on Differential Mean Value Theorem
YANG Yu-min.Several Comments on Differential Mean Value Theorem[J].Journal of Anshan Teachers College,2010,12(6):5-9.
Authors:YANG Yu-min
Institution:YANG Yu-min (Department of Mathematics,Anshan Normal University,Anshan Liaoning 114007,China)
Abstract:Differential mean value theorem is one of the basic theorem of mathematics analysis,and it is an important tool to research the formal of functions.Firstly,differential mean value theorem and its generalized formal are introduced.Secondly,the location of the point in mean value theorem and relations of Lagrange mean value theorem、Cauchy mean value theorem and integral mean value theorem are discussed in this paper.
Keywords:Continuity  Differential  Integral  
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