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试论一元函数导数概念的多元推广

On the Concept of Derivative and its Expansion

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【作者】 王珍娥

【Author】 WANG Zhen-e(Zhejiang Institute of Mechanical and Electrical Engineering,Hangzhou Zhejiang,310053)

【机构】 浙江机电职业技术学院 浙江杭州310053

【摘要】 若一元函数存在导数,则可推得函数在某点连续,曲线呈光滑状态.而对多元函数来说,自变量在平面区域、空间区域甚至n维空间区域内变化,导数概念相对复杂.本文就导数概念的推广略加探讨.

【Abstract】 If there exists one-dimensional function and its derivative,we can come to the conclusion that function is continuous at certain point and its curve is smooth.As for multi-dimensional function,the concept of derivative is relatively complex because independent variables may vary in plane area,spatial area and even n-dimensional spatial area.The paper is designed to focus on the expansion of the concept of derivative.

【关键词】 函数导数推广
【Key words】 functionderivativeexpansion
  • 【文献出处】 山西大同大学学报(自然科学版) ,Journal of Shanxi Datong University(Natural Science) , 编辑部邮箱 ,2007年04期
  • 【分类号】O172
  • 【下载频次】225
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