does there exist a function which is continuous everywhere but not differentiable at exactly 2 points???????????

Asked by Anushri | 25th Jul, 2013, 10:20: PM

Expert Answer:

|x| is a function that is continuous everywhere but isn 't differentiable at exactly one point.

Define a function f(x), such that

f(x) = |x| for x<0, f(x) = sinx, for 0?x<22/7, f(x) = |x-22/7| for x?22/7

Then this function is continuous everywhere, but will have two points where it is not differentiable.

Answered by  | 25th Jul, 2013, 10:31: PM

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