If f(x) = [x] (greatest integer), then the set of points where f is not differentiable is: A. Integers B. Real numbers C. Rational numbers D. Empty set Answer: A) Integers Explanation: Greatest integer function has jump discontinuity at integers, hence not differentiable at integers.

imo class 12 continuity and differentiability

If f(x) = [x] (greatest integer), then the set of points where f is not differentiable is:

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If f(x) = [x] (greatest integer), then the set of points where f is not differentiable is:

Answer: A) Integers

Explanation: Greatest integer function has jump discontinuity at integers, hence not differentiable at integers.