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关于相对导数的若干问题的探讨
引用本文:傅孙瑜.关于相对导数的若干问题的探讨[J].天津理工大学学报,1990(2).
作者姓名:傅孙瑜
作者单位:天津理工学院数理译丛编辑部
摘    要:本文应用导数理论,提出了相对导数的概念,并说明相对导数的实际意义。在此基础上,研究了相对导数的某些运算法则,并给出了它们的详细证明.此外,还研究了反函数的相对导数.最后给出了高阶相对导数的定义,并通过实例加以说明.

关 键 词:导数  相对导数  运算法则

AN APPROACH TO SOME PROBLEMS ON RELATIVE DERIVATIVE
Fu Sunyu.AN APPROACH TO SOME PROBLEMS ON RELATIVE DERIVATIVE[J].Journal of Tianjin University of Technology,1990(2).
Authors:Fu Sunyu
Abstract:In this paper,derivative theory is uscd to introduce the concept of relative derivative, and we show practical meaning of relative derivative.Based on this,some operational rules of relative derivative are studicd,and their detailed proofs are given.Morecver,relative deri- vative of inverse function is also studied.Finally,the definition of higher relative derivative is given.Further,we give an interpretation by an example.
Keywords:derivative  relative derivative  operational rule
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