三种导数的比较研究

A Comparative Study of Three Kinds of Derivatives

导数这一概念在高中教材已经引入,作为一种工具,导数主要是为了解决有关变化率问题而引入的一种数学计算模型,在高等数学教材里也都是孤立的、分散的出现,而且都是一种先入为主的介绍模式,没有形成一个完整的模块体系。本文从导数的定义及意义入手,谈谈三种导数:导数、偏导数、方向导数的区别与联系,使我们对导数这一数学工具有一个更深刻的认识。

Derivative has been introduced into senior high school teaching materials.As a tool,derivative is introduced to solve the problems related to rate of change,so it is isolated and dispersive in teaching materials without a complete module system.Starting from the definition and meaning of derivative, this paper discusses the differences and relationship among three kinds of derivatives,aiming to help us get a further understanding of this mathematical tool.