Prove that the greatest integer function defined by f(x)=[x], 0x3 is not differentiable at ...

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Prove that the greatest integer function defined by

f(x)=[x], 0x3

is not differentiable at x=1 and x=2.
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On pg. No. 120 of ncert it's written that every continuous fn. Is not differentiable necessarily! How do you know that even if its continuous it's also differentiable? 3:18

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