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Continuity and Differentiability — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSContinuity and Differentiability1 Mark
Question
Fill in the blanks:
An example of a function which is continuous everywhere but fails to be differentiable exactly at two points is __________.
✓

Answer

An example of a function which is continuous everywhere but fails to be differentiable exactly at two points is x = 0 and x = 1.
Solution:
|x| + |x - 1| is continuous everywhere but fails to be differentiable exactly at points
x = 0 and x = 1.
So, there can be more such examples of functions.

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