Question:
does there exist a function which is continuous everywhere but not differentiable at exactly two points ? justify your answer
Answer:
There are so many such functions, those are continuous everywhere but not differentiable at exactly two points.
For example, |x| + |x - 2|, |x+1| + |x - 2|,... etc.
From graph also it is very obvious, as two corner points are there for |x| + |x - 2|, at x = 0 & x = 2.
For more explanation, click on the link below: Timestamp: 34:46
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