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变形化简的常见错误及应对方法
引用本文:孟渝,杨霞.变形化简的常见错误及应对方法[J].数学学习,2010(6):25-26.
作者姓名:孟渝  杨霞
作者单位:[1]重庆工业职业技术学院基础部,重庆 400050 [2]重庆交通大学理学院,重庆 400074
摘    要:对于比较复杂的函数进行求导或积分运算时,常常需要对其变形化简.通过实例分析,指出这种变形化简有可能影响到最终因此而求出的"导函数"或"原函数"定义域与最初所给函数的定义域不相一致,并给出解决此问题的应对方法.

关 键 词:定义域  导函数  原函数  定积分  连续性

Errors Resulted From Simplifying or Deforming Functions and Their Solutions
MENG Yu,YANG Xia.Errors Resulted From Simplifying or Deforming Functions and Their Solutions[J].Studies In College Mathematics,2010(6):25-26.
Authors:MENG Yu  YANG Xia
Institution:1. Chongqing Industry Polytechnic College, Chongqing, 400050, PRC; 2. School of Science, Chongqing Jiaotong University, Chongqing, 400074, PRC)
Abstract:In order to find derivatives or to seek indefinite integrals of complex functions, simplifying or deforming are needed. These proeesses may sometimes result in change of intervals which "derivative" or "primary function" are defined. Solutions are proposed to fix these problems.
Keywords:domain  derivative  primary function  definite integral  continuity  
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