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Question
An example of a function which is continuous everywhere but fails to be differentiable exactly at two points is ______.
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Solution
An example of a function which is continuous everywhere but fails to be differentiable exactly at two points is |x| + |x – 1|.
Explanation:
|x| + |x – 1| is the function which is continuous everywhere but fails to be differentiable at x = 0 and x = 1.
We can have more such examples.
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