摘要
通过例题展示了分段函数在分界点处导数的多种计算方法,有些方法不够严谨或者缺乏理论的支撑,为此,进行了深入的讨论、研究,针对某些方法给出了相关定理并证明了方法的合理性,指出了某些做法容易出现错误及出错的成因,避免做题再犯错,系统地给出了分段函数在分界点处的导数的计算方法及其注意事项。
In this paper,several calculation methods of the derivative of the piecewise function at the boundary point are shown by examples.Some methods are not rigorous enough or lack of theoretical support.Therefore,through in-depth discussion and research,relevant theorems are given for some methods and these methods are finally proved to be reasonable.This paper points out that some methods are prone to errors and the causes of errors,avoiding making mistakes and making mistakes again.The calculation method of the derivative of the piecewise function at the boundary point and its precautions are systematically given.
作者
展丙军
展铭望
隋殿杰
ZHAN Bing-jun;ZHAN Ming-wang;SUI Dian-jie(School of Teacher Education,Daqing Normal University,Daqing,Heilongjiang 163254;Mechanical and Electrical Engineering College,Guangdong Petrochemical College,Maoming,Guangdong 525000,China)
出处
《大庆师范学院学报》
2020年第3期89-95,共7页
Journal of Daqing Normal University
关键词
分段函数
分界点
导数
piecewise function
boundary point
derivative
