微分中值定理的证明及推广  

The Proof of Differential Mean Value Theorem and Extension

作　　者：程建玲[1] 

机构地区：[1]郑州华信学院基础部,河南郑州451150

出　　处：《枣庄学院学报》2014年第5期63-66,共4页Journal of Zaozhuang University

摘　　要：基于拉格朗日中值定理与柯西中值定理的基本原理,构建了罗尔定理不同系数的辅助函数,用这些辅助函数重新证明了拉格朗日中值定理和柯西中值定理,并且推广了微分中值定理.Based on the Lagrange theorem and cauchy mid - value theorem are obtained, the basic principles of constructing the auxiliary of different coefficient of rolle＇s theorem. Function, use the auxiliary function to the Lagrange theorem and cauchy mid - value theorem are obtained, and the promotion of the differential Value theorem.

关 键 词：微分中值定理 辅助函数 构造 

分 类 号：O129[理学—数学]