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Does there exist a function which is continuous everywhere but not differentiable at exactly two points? Justify your answer.

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  • $f$ is continuous every where.But it is not differentiable at two points.
Consider the function $f(x)=\mid x\mid+\mid x-1\mid$
$f $ is continuous every where.But it is not differentiable at $x=0$ and $x=1$
answered May 15, 2013 by sreemathi.v
 

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