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प्रश्न
Write an example of a function which is everywhere continuous but fails to differentiable exactly at five points.
थोडक्यात उत्तर
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उत्तर
\[f\left( x \right) = \left| x \right| + \left| x + 1 \right| + \left| x + 2 \right| + \left| x + 3 \right| + \left| x + 4 \right|\]
The above function is continuous everywhere but not differentiable at x = 0, 1, 2, 3 and 4
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