浅谈导数定义及其应用

Elementary Introduction on the Definition and Application of Derivative

在各类升学考试《高等数学》试卷中都涉及导数定义的题目,考生失分率高,主要原因是学生对导数定义不够重视,对导数概念理解不够透彻。本文对导数定义进行剖析,将导数定义延拓并论证,结合例题突出对应用导数定义求极限、求导数的关键点,旨在帮助学生掌握导数定义及其应用。

The tides about the definition of derivative are involved in “Advanced Mathematics” papers of all kinds of entrance exam. The main reason why examinees lose so many marks is that the students pay no more attention to the definition of derivative and cant understand the concept of derivative completely. This essay focuses on analyzing the definition of derivative, promoting and arguing it; emphasizing the key points in applying the definition of derivative to calculate limit and derivative by using examples. The essay＇s main objective is to help students master the definition of derivative and its application.