Question

does there exist a function which is continuous everywhere but not differentiable at exactly two points? justify your answer.​

Answer 1

Answer:

Yes, there are some function which are continuous everywhere but not differentiable at exactly two points. ... Since we know that modulus functions are continuous at every point, So there sum is also continuous at every point. But it is not differentiable at every point

Answer 2

Answer:

Yes, there are some function which are continuous everywhere but not differentiable at exactly two points. ... Since we know that modulus functions are continuous at every point, So there sum is also continuous at every point. But it is not differentiable at every point.

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