| 关于抽象多元复合函数求导问题的探析 |
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| 引用本文： | 马莹.关于抽象多元复合函数求导问题的探析[J].教育教学论坛,2019(1):177-178. |
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| 作者姓名： | 马莹 |
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| 作者单位： | 1.安徽理工大学 |
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| 基金项目： | 安徽省重大教改项目"基于网络教学平台的公共数学课教学与考试模式的研究" |
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| 摘 要： | 多元复合函数偏导数的计算是多元函数微分中的重点和难点。本文将从一元函数引入复合函数求导法则,在理解一元复合函数求导的基础上,介绍二元函数复合抽象函数求导,然后选取合适的例题,从具体的复合函数求导例题再过渡到抽象函数求导例题,循序渐进的过程,学生能够直观理解,最后给出了复合函数求导要注意的几点问题。
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| 关 键 词： | 多元函数 复合函数 函数关系图 偏导数 |
A Probe into the Derivation of Abstract Multiple Complex Functions |
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| MA Ying.A Probe into the Derivation of Abstract Multiple Complex Functions[J].jiaoyu jiaoxue luntan,2019(1):177-178. |
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| Authors: | MA Ying |
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| Institution: | (Anhui University of Science & Technology,Huainan,Anhui 232001,China) |
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| Abstract: | The calculation of partial derivatives of multivariate composite functions is the key and difficult point in the differentiation of multiple functions.This article will introduce a function from unary composite function,a derivative method in understanding the unary composite function derivation,on the basis of introducing the binary function composite abstract functions,and then select the appropriate sample,derivation of compound function from the concrete examples,and then the transition to the abstract functions examples,gradual process,students can intuitively understand,finally gives the attention should be paid to some problems of the composite function derivative. |
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| Keywords: | multi-function Complex functions Function diagram Partial derivative |
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