Question

Does there exist a function which is continuous every where but not differentiable at exactly TWO points.justify??
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Answer 1

no it is not possible

Answer 2

$Explanation$

★ Yes, there are some function which are continuous everywhere but not differentiable at exactly two points.

★ Let us take an example. Since we know that modulus functions are continuous at every point, So there sum is also continuous at every point.