Let f : R → → R be a function defined by f(x) = max {x, x 3…

Maths Functions, Limits, Continuity and Differentiability Differentiability Single Correct MCQ

Published on: August 13, 2026

Let f : R → → R be a function defined by f(x) = max {x, x 3 }. The set of all points where f(x) is NOT differentiable is

{ − − 1, 1}

{ − − 1, 0}

{0, 1}

{ − − 1, 0, 1}

Text Solution

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The correct answer is:

f(x) = max. {x , x 3 }

∴ ∴ f’(x) = Clearly f is not differentiable at -1, 0 and 1.

∴ ∴ ‘D’ is the correct alternative.

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