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Differential Calculus

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Joined:	28 Feb 2007
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22 Mar 2008 14:30:36 IST

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314

Wonders never cease

None

A long time ago someone in the forum had asked whether there exist functions which are continuous everywhere but differentiable nowhere. I located that post. It is http://www.goiit.com/posts/list/15/differenciation-plzzz-solve-this-41037.htm

You can see we had all come to the conclusion that there could be no such function.

Turns out there is actually a function like this. See this: http://en.wikipedia.org/wiki/Weierstrass_function.

Mathematics always has wonderful surprises waiting to spring on us.

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sandeep ramesh

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Joined: 13 Mar 2008

Posts: 1183

22 Mar 2008 14:35:46 IST

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I know from where you got that fn, is it right? :D :D

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