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Mathematics - Continuity - Differentiability Question with Solution | TestHub

MathematicsContinuity - DifferentiabilityDifferentiabilityMedium2 minQB

MathematicsMediuminteger

If $a \in (- \infty, - 1) \cup (- 1, 0)$ , then the number of points where the function $f (x) = x^{2} + (a - 1) x ∣ - a ∣$ is not differentiable is:

Answer:

Solution:

given $f (x) = x^{2} + (α - 1) x ∣ - α ∣$ Take $g (x) = x^{2} + (α - 1) x - α$ $\Rightarrow f (x) = (∣ x ∣ - 1) (∣ x ∣ + α)$ From graph it is clear that $f (x)$ is not differentiable at ' 5 ' points.

Stream:JEESubject:MathematicsTopic:Continuity - DifferentiabilitySubtopic:Differentiability

⏱ 2mℹ️ Source: QB

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