Special curve
State, if any, a function of a curve which is:
Continuous at every point
NOT differentiable at every point
for all values within its domain.
In case of no such curve found, please provide a proof on it.
回答 (3)
我覺得個圖形應該係一個鋸齒的封閉圖形.....就好似畫一個太陽咁.....周圍的是一些密密麻麻的"尖端位"
那便cts at everywhere and因為尖端位而not differentiable at everywhere.^_^
A function is an equation in which one domain gives one and only one answer.
For the equation
{f(x)=(x^2-n^2)/(x-n) all x except x=1
{f(x)=n x=n
This is a function as one domain gives one and only one answer.
And this function is continuous as when drawing the curve, there is no 'holes' at the curve.
However, this curve is not differentiable at the point x=n as the limit at x=n does not exist.
收錄日期: 2021-04-25 17:21:21
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20080714000051KK01818
檢視 Wayback Machine 備份