基于函数乘积与商导数公式的还原法的应用探讨  

Application Discussion of Restoration Method Based on Function Productand Quotient Derivative Formulas

作　　者：李晓涵 苏华[1] LI Xiaohan;SU Hua(School of Statistics and Mathematics,Shandong University of Finance and Economics,Jinan 250014,China)

机构地区：[1]山东财经大学统计与数学学院,济南250014

出　　处：《鲁东大学学报(自然科学版)》2025年第2期188-192,共5页Journal of Ludong University:Natural Science Edition

基　　金：山东省高等学校科技计划项目(J16LI01)。

摘　　要：本文首先介绍函数乘积和商的求导公式的特点,其次详细探讨基于乘积和商求导公式的解题方法——还原法,以及它们在求解微分方程和中值定理构造辅助函数等方面的应用。This article first introduces the characteristics of the derivative formulas for the product and quotient of functions,and then introduces in detail the solution method based on the derivation formulas of product and quotient:restoration method,as well as their applications in solving differential equations and constructing auxiliary functions in the mean-value theorem.

关 键 词：导数公式 构造辅助函数 还原法 微分方程 

分 类 号：O172.2[理学—数学]