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。
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.
出处
《西南石油学院学报》
CSCD
1992年第1期116-121,115,共7页
Journal of Southwest Petroleum Institute
关键词
分段函数
分界点
左右导数
极限
Dividing point of piecewise function
Derivative on the left or on the right
Derivative limit on the left or on the right
