基于连续函数不可导点的探讨  

Discussion Based on Non-differentiable Points of Continuous Function

作　　者：双鹂[1] 

机构地区：[1]上饶师范学院,江西上饶334000

出　　处：《上饶师范学院学报》2012年第6期10-13,共4页Journal of Shangrao Normal University

基　　金：2010年上饶师范学院教改立项课题(饶师院教字[2010]19号文)

摘　　要：众所周知,一元函数微分学中有关函数的单调性、极值、最值等内容均需考察函数的不可导点,而大学数学教材对如何寻找函数的不可导点很少涉及,给学生的学习造成了较大的困惑,应当引起重视.为此,本文从三个方面对连续函数的不可导点进行了探讨.As is known to all,in The Derivative contents like monotonicity,extrema and extrernes all involve functions' non-differentiable points.However mathematics teaching materials in colleges seldom cover the knowledge of finding functions' non-differentiable points,which makes quite a lot of students feel confused while studying these parts.That should be paid much attention to.Therefore the author of this paper discusses how to find functions' non-differentiable points in three different ways.

关 键 词：初等函数 连续函数 分段函数 不可导点 

分 类 号：O172.1[理学—数学]