Does there exist a function which is continuous everywhere but no… - Vidyadip

Question

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

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Answer

Let us consider the function $\text{f(x)}=|\text{x}|+\text{x}-|$
f is continuous everywhere but it is not differentiable at x = 0 and x = 1.

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