含积分变限函数的求导方法  

The Derivative Method of Function with Integral Variable Limit

作　　者：文传军[1] 陈荣军[1] WEN Chuanjun;CHEN Rongjun(School of Sciences and Chemical Engineering,Changzhou Institute of Techology,Changzhou 213032)

机构地区：[1]常州工学院数理与化工学院,江苏常州213032

出　　处：《常州工学院学报》2018年第1期83-88,共6页Journal of Changzhou Institute of Technology

基　　金：常州工学院教学建设项目(A3-4406-17-064;A3-4402-17-059);常州工学院科研基金项目(YN1305)

摘　　要：含积分变限的函数求导问题,是积分与求导运算相结合的一个重要内容。找到快速有效的计算方法,是处理此类问题的关键。以多元复合函数的方式处理含积分变限的函数求导问题,求导时分别对积分变限和被积函数中的变量求导即可解决此类问题。该方法能够简洁有效地解决含积分变限的函数求导问题,且能够帮助学生快速掌握和准确应用。The problem of derivative of function with integral variable limit is an important part of the combination of integral and derivative operation.The key to solve the problem is to find a fast and effective computing method.The problem is solved by multivariate composite functions.When the derivatives are solved,they can be solved respectively by the integrating variational limits and derivatives variables in the integrand.This method can solve the problem of derivative of function with integral variation easily and effectively,and students can easily grasp it and accurately apply it.

关 键 词：积分变限 求导运算 积分运算 复合函数求导 积分中值定理 

分 类 号：G642[文化科学—高等教育学]