【摘要】 本文指出了一些学生在求分段连续函数在分段点的导数时,常见的一个错误。说明了在一般情况下,由极限limf’(x)存在,不能得出f’(x0)存在的结论;反之,由极限limf’(x)不存在,也不能推出f’(x0)不存在。更多还原

【Abstract】 A mistake is pointed out in this paper that some students may make while reckoning derivative of piecewise continuous function at piecewise point. It is explained in the paper that in general case f’ ( x0 ) exist-ence camt be reckoned from limf’(x) existence as well as f’(x0) inexistence cant reckoned from limf’(x) in-existence.更多还原