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含积分变限函数的求导方法
The Derivative Method of Function with Integral Variable Limit
【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。
【Abstract】 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.
【Key words】 integral variable limit; derivative operation; integral operation; composite function derivation; integral mean value theorem;
- 【文献出处】 常州工学院学报 ,Journal of Changzhou Institute of Technology , 编辑部邮箱 ,2018年01期
- 【分类号】O172.1;O174
- 【被引频次】3
- 【下载频次】561