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函数的可导性及其判定方法
引用本文:王玉贞,袁继宁.函数的可导性及其判定方法[J].西华师范大学学报(哲学社会科学版),1991,12(1):83-88.
作者姓名:王玉贞  袁继宁
作者单位:四川师范学院数学系,四川师范学院数学系
摘    要:本文利用函数的导函数在某点处的左、右极限,研究了函数在该点处的可导性,得到了两个判定条件,同时给出了两个简便的判定一类函数在某点处可导或右(左)可导的定理。

关 键 词:函数  可导性  判定方法  左导数

DERIVABILITY OF FUNCTIONS AND DECISION METHODS
Wang YuZhen Yuan Jining.DERIVABILITY OF FUNCTIONS AND DECISION METHODS[J].Journal of China West Normal University:Natural Science Edition,1991,12(1):83-88.
Authors:Wang YuZhen Yuan Jining
Institution:Mathematics Department
Abstract:The paper studied the derivability of functions at some points by making use of the limits on the left and right of the derivabilities of the functions at the same points and found two decision conditions;and then obtained two simple theorems which were used to decide derivability or left(right)hand derivability of a class of functions at some poits.
Keywords:derivability  derivative on the left and right  limiton the left and right  sufficient and necessary condition
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