| 关于多元复合函数高阶求导的讨论 |
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| 引用本文： | 文传军,华婷.关于多元复合函数高阶求导的讨论[J].常州工学院学报,2010,23(4):54-56. |
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| 作者姓名： | 文传军 华婷 |
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| 作者单位： | 常州工学院理学院,江苏,常州,213002;常州工学院理学院,江苏,常州,213002 |
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| 摘 要： | 多元复合函数高阶求导是高等数学教学中的难点,其计算较为复杂和繁琐。文章针对该问题进行了研究,利用矩阵和向量以整体形式表现计算的过程和结果,并借助代换计算的方式计算中间变量导函数对自变量的求导,从而得到复合函数高阶求导的简单方法。
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| 关 键 词： | 多元复合函数 高阶求导 矩阵向量形式 代换 |
A New Method for Higher Order Derivative of Multivariate Composite Function |
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| WEN Chuan-jun,HUA Ting.A New Method for Higher Order Derivative of Multivariate Composite Function[J].Journal of Changzhou Institute of Technology,2010,23(4):54-56. |
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| Authors: | WEN Chuan-jun HUA Ting |
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| Affiliation: | WEN Chuan-jun HUA Ting(School of Science,Changzhou Institute of Technology,Changzhou 213002) |
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| Abstract: | The higher order derivative calculation of multivariate composite function is a difficult point in teaching higher mathematics,and its derivation computation is complex and tedious.This paper studies the method for higher order derivative of multivariate composite function.Vector-matrix form is utilized to express derivative calculation progress and result in a whole and substitution is applied in the derivative computation of midst-variable derived function to independent variable,which leads to a new and ... |
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| Keywords: | multivariate composite function higher order derivative vector-matrix form substitution |
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