求分段函数导数的一个定理  

A Theorem for Finding the Derivative of a Piecewise Function

作　　者：高泽民[1] 

机构地区：[1]三明高等专科学校初等教育系,福建三明365004

出　　处：《三明高等专科学校学报》2004年第2期4-7,共4页Journal of Sanming College

摘　　要：给出利用求导公式及求导法则来判断一个分段函数在分段点处是否可导以及在可导情况下如何求该导数的一个定理,并举例说明该定理的应用及其局限性。In this article, by using the derivative formulas and finding derivative rules, we give a theorem for discriminating whether a piecewise function is derivable at the point of division and how to find its derivative if it is derivatable. Examples are also given about the applications and disadvantages of this theorem.

关 键 词：分段函数 分段点 导数 函数连续性 

分 类 号：O172.1[理学—数学]