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Differentiability — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDifferentiability2 Marks
Question
Write an example of a function which is everywhere continuous but fails to differentiable exactly at five points.
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Answer

We know that, modulus functionf(x) = |x| is continuous but not differntiable at x = 0.
So,
f(x) = |x| + |x - 1| + |x - 2| + |x - 3| + |x - 4| is continuous but not differentiable x = 0, 1, 2, 3, 4.

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