If f ( x ) = maximum { 4 , 1 + x 2 , x 2 − 1 } ∀ x ∈ R . Then the points where f ( x ) is not-differentiable at

Draw graph, clearly at x = ± 3 , f ( x ) is not differentiable.

Mathematics - Continuity - Differentiability Question with Solution | TestHub

MathematicsContinuity - DifferentiabilityDifferentiabilityMedium2 minQB

MathematicsMediummultiple choice

If $f (x) =$ maximum ${4, 1 + x^{2}, x^{2} - 1} \forall x \in R$ . Then the points where $f (x)$ is not-differentiable at

Answer:

A, B, C

Solution:

Draw graph, clearly at $x = \pm 3, f (x)$ is not differentiable.

Stream:JEESubject:MathematicsTopic:Continuity - DifferentiabilitySubtopic:Differentiability

⏱ 2mℹ️ Source: QB

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