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高等数学中几个概念之间的关系
引用本文:邓光辉,张锡鸰,刘东南.高等数学中几个概念之间的关系[J].数学学习,2010,13(5):35-36.
作者姓名:邓光辉  张锡鸰  刘东南
作者单位:湖南工业大学理学院,湖南株洲,412007 
摘    要:对高等数学中导数的单侧极限与单侧导数、可导与连续、函数单调性与函数极值之间的关系进行探讨,对相关命题的正误进行辨析,以利于学生对概念的理解和相关知识的掌握.

关 键 词:单侧极限  单侧导数  可导  连续  单调  极值

Relations of Several Concepts in Higher Mathematics
DENG Guang Hui,ZHANG Xi Ling,LIU Dong Nan.Relations of Several Concepts in Higher Mathematics[J].Studies In College Mathematics,2010,13(5):35-36.
Authors:DENG Guang Hui  ZHANG Xi Ling  LIU Dong Nan
Institution:(School of Science,Hunan University of Technology,Zhuzhou,Hunan,412007,PRC)
Abstract:We discuss the relations between one-sided limit of a derivative and one-sided derivative,differentiable and continuous,and monotonicity and extrema.We facilitate students' understanding and learning by analyzing true-false of the relevant propositions.
Keywords:one-sided limit  one-sided derivative  differentiable  continuous  monotonicity  extrema  
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