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Show that the greatest integer function f(x) = [x] is not differentiable at x = 2

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asked Apr 17, 2020 in Continuity and Differentiability by Ruksar03 (46.3k points)

Show that the greatest integer function f(x) = [x] is not differentiable at x = 2

continuity
differentiability
class-12

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answered Apr 17, 2020 by PritiKumari (48.0k points)
selected Apr 17, 2020 by Ruksar03

Best answer

At x = 2,

Left hand derivative

Right hand derivative

Hence, at x = 2, functions in not differentiable.

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Show that the greatest integer function f(x) = [x] is not differentiable at x = 2

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