参数方程所确定的函数求高阶导数方法的研究  

Exploration of Methods about Higher Derivation of Function Defined by Parameter Equation

作　　者：陈茜[1] 

机构地区：[1]中南林业科技大学理学院,湖南长沙410004

出　　处：《河北北方学院学报（自然科学版）》2011年第1期1-2,7,共3页Journal of Hebei North University:Natural Science Edition

基　　金：湖南省教育厅资助项目(09B113)

摘　　要：针对参数方程所确定的函数求高阶导数这一教学中的难点进行了探讨.在总结传统教学方法的同时,又通过变量互换的方法及导数与微分的关系,引入两种新的求导方法.分析了各种方法的原理及解题的繁易.这些既丰富了教学方法又拓展了同学的解题思路.最后,通过例题对各个方法进行了验证.In this paper,the difficulty of higher derivation of function defined by parameter equation is discussed.While traditional teaching methods are summarized,the two new methods are introduced,which are about variable exchange and the relationship between derivation and differential.The theory and their complexity and simplicity are analyzed,respectively.These not only enrich teaching methods,but also develop students＇ problem-solving ideas.Finally,examples are provided to demonstrate above methods

关 键 词：参数方程 高阶导数 变量 微商 

分 类 号：O172.1[理学—数学]