摘要
以一道证明偶函数在零点处导数为零的习题为例,分别使用链式法则、导数定义,带Peano型余项的泰勒公式等知识,给出6种解法,旨在培养学生分析问题和解决问题的能力.
It is known that the derivative of an even function at zero, if exists, is zero. In this paper, we provide six approaches to this fact by using the chain rule, the definition of derivative, and Taylor formula with Peano remainder, etc. These approaches can be useful for training students＇ ability of analyzing and solving problems.
出处
《高等数学研究》
2013年第5期23-24,共2页
Studies in College Mathematics
基金
黑龙江省高等教育教学改革工程立项项目(2011)
关键词
导数定义
链式法则
泰勒公式
definition of derivative, chain rule, Taylor formula
