摭谈分段函数在分段点的导数  

On the Derivative of Piecewise Functions

作　　者：张守江 ZHANG Shoujiang(Mathematical Staff Room,Yancheng Kindergarten Teachers College,Yancheng 224005)

机构地区：[1]盐城幼儿师范高等专科学校数学教研室,江苏盐城224005

出　　处：《高等数学研究》2021年第5期14-17,共4页Studies in College Mathematics

摘　　要：本文对分段函数求导数的方法进行了总结,剖析了几类错误方法的本质,给出了用导数极限定理及其变式研究分段函数在分段点处导数的简便方法及教学建议.The methods of obtaining the derivative of a piecewise function is summarized,and several wrong approaches are analyzed.Teaching suggestions for using the derivative limit theorem and its variants to study the piecewise functions are given.

关 键 词：分段函数 分段点 导数 

分 类 号：O172[理学—数学]