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Question

An example of function which is continuous everywwhere but not differentiable at exactly at two points is

A
f(x)=|x|+|x1|
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B
f(x)=|x+1|+|x||x3|
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C
f(x)=|x+1||x3|+|x7|
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D
None
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Solution

The correct option is A f(x)=|x|+|x1|
Consider the function f(x)=|x|+|x1|
f is continuous every where but it is not differentiable at x=0 and x=1.

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