关于一分段函数求二阶导数的讨论

Discussion about Second Derivative of a Piece—wise Function

本文指出了文献中一分段函数求分界点处二阶导数的不足之处,并且给出了正确解决此问题的三种方法:导数定义法、含参量正常积分可微性定理法、导数极限定理法。

In this paper,the authors first point out the deficiency of second derivative of a piece- wise function at the edge points in article[1].Then,they use three methods to solve this problem,that 's,definition,integral with parameter,derivative limit theorem.