复合函数求导教学改革方案

A Consideration on The Teaching of Derivatives of Complex Functions

提出一种复合函数求导教学改革方案.方案通过加深理解一元复合函数求导与多元复合函数求导的共性与联系出发,改革复合函数求导教学,提高教学水平.一元复合函数的求导公式与链式法则是学好复合函数求导的关键,加深对二者共性与联系的认识有利于教与学.

The derivation formula of composite functions and the chain rule on the derivation of multivariate composite functions are the key to learn the derivation of composite functions well and deepening the understanding of their commonness and connection is beneficial to teaching.This paper tries to show their commonness and connection,and further proposes a teaching reform plan.Finally,the effects of the proposed reform plan are explained.