English

An example of a function which is continuous everywhere but fails to be differentiable exactly at two points is ______.

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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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Chapter 5: Continuity And Differentiability - Exercise [Page 116]

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NCERT Exemplar Mathematics Exemplar [English] Class 12
Chapter 5 Continuity And Differentiability
Exercise | Q 97 | Page 116
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