Mathematics - Continuity - Differentiability Question with Solution | TestHub

MathematicsContinuity - DifferentiabilityDifferentiabilityMedium2 minQB

MathematicsMediummultiple choice

Which of the following functions are not differentiable at $x = 0$

Answer:

A, B, C

Solution:

$∣ x ∣$ is not differentiable at $x = 0$

$cos ∣ x ∣ = cos x$ is differentiable for all ' $x$ '

however $sin ∣ x ∣ - ∣ x ∣$ has both right and left derivatives are zero at $x = 0$

$∴ sin ∣ x ∣ - ∣ x ∣$ is differentiable at $x = 0$

Stream:JEESubject:MathematicsTopic:Continuity - DifferentiabilitySubtopic:Differentiability

⏱ 2mℹ️ Source: QB

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