两个微分中值定理证明中辅助函数的多种作法

Multiprocess of the Auxiliary Functions, in the Two Differential Mean Value Theorem′s prove

在数学分析中 ,三个微分中值定理极为重要 .在证明 Lagrange中值定理和 Cauchy中值定理时 ,都少不了作辅助函数 ,各种版本的《数学分析》或《高等数学》书本中 ,都只给出了一种形式的辅助函数 .为了扩展思路 ,给出了多种形式的辅助函数 ,并得出了一般形式 .

In the mathematical analysis, three differential mean value theorems are very important, in the prove of Language mean value theorem and Cauchy mean Value theorem the auxiliary functions are essential in the any edition, auxiliary function of some form is given. For the expanding training of thought, this text give multiform of auxiliary function and their ordinary forms.