更新1:
to myisland8132 thank yuor for answering my question but for your case F(x)=|x| F'-(0)=-1 while F'+(0)=1 So F(x)=|x| is NOT differentiable on x=0
Question about function & differentiation
2008-05-04 6:21 am
Please suggest a function F(x) and a constant Y such that F(x) is comtinuous and differentiable on x=Y but its F'(x) is not continuous on x=Y.
回答 (1)
2008-05-04 8:08 am
✔ 最佳答案
Please suggest a function F(x) and a constant Y such that F(x) is comtinuous and differentiable on x=Y but its F'(x) is not continuous on x=Y. I suggest that F(x)=|x| and Y=0
It can be shown that F(x) is comtinuous and differentiable on x=0 but its F'(x) is not continuous on x=0.
2008-05-04 21:01:49 補充：
看錯題目了。我已經找到答案了﹐如下
http://en.wikipedia.org/wiki/Smooth_function
收錄日期: 2021-04-25 16:58:22
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20080503000051KK03184