关于分段函数在分界点处的导数问题

doi:10.3863/j.issn.1000-2634.1992.01.018

西南石油大学学报(自然科学版) ›› 1992, Vol. 14 ›› Issue (1): 116-121（.DOI: 10.3863/j.issn.1000-2634.1992.01.018

关于分段函数在分界点处的导数问题

何炳全

基础学科部

收稿日期:1991-07-16 修回日期:1900-01-01 出版日期:1992-02-20 发布日期:1992-02-20

ON DERIVATIVE OF PIECEWISE FUNCTIONS AT THEIR DIVIDING POINTS

He Binquan

Department of Basic Courses

Received:1991-07-16 Revised:1900-01-01 Online:1992-02-20 Published:1992-02-20

摘要/Abstract

摘要： 文献[1]解决了绝对值函数的求导问题,本文将它推广到更一般、更普遍的分段函数的情形。在所证明的两个引理的基础上,给出了一个分段函数在界点处一阶导数存在的充要条件及其推论。

关键词: 分段函数的分界点, 左右导数, 左右极限

Abstract: In Reference(1), the question of derivation of absolute value function has been solved. Its results are extended to general piecewise functions in this paper. First, two lemmas are given, and then the necessary and suffiei ent condition of piecewise functions at their dividing points and its corollary are obtained.

Key words: Dividing point of piecewise function, Derivative on the left or on the right, Derivative limit on the left or on the right

中图分类号:

O174.1

何炳全. 关于分段函数在分界点处的导数问题[J]. 西南石油大学学报(自然科学版), 1992, 14(1): 116-121（.

He Binquan. ON DERIVATIVE OF PIECEWISE FUNCTIONS AT THEIR DIVIDING POINTS[J]. 西南石油大学学报(自然科学版), 1992, 14(1): 116-121（.

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关于分段函数在分界点处的导数问题

ON DERIVATIVE OF PIECEWISE FUNCTIONS AT THEIR DIVIDING POINTS

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