基于“以学为中心”教学理念的导数和偏导数运算法则探究

On Operational Rules for Derivative and Partial Derivative Based on the Learning Centered Teaching

基于“以学为中心”的教学理念,本文探究两个函数积、商的导数(或偏导数)等于其导数(或偏导数)积、商的问题,给出了此结论成立的非平凡实例.

Based on the learning centered teaching,this paper studies the case that the derivative(or partial derivative)of a product or a quotient of two functions are equal to the product or quotient of their derivatives(or partial derivatives).Non-trivial examples are presented.