Mathematics - Continuity - Differentiability Question with Solution | TestHub

MathematicsContinuity - DifferentiabilityDifferentiabilityEasy2 minPYQ_2024

MathematicsEasysingle choice

$f (x) = ⎩ ⎨ ⎧ 4 x^{2} - 1 4 - \infty < x < - 5 - 5 \leq x \leq 5 5 \leq x < \infty$ If $k$ is the number of points where $f (x)$ is not differentiable then $k - 2 =$

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Solution:

Here $f (x)$ is continous $\forall x \in R$ Now At $x = - 5$ L.H.D = 0 R.H.D $= 2 x = - 25$ $\Rightarrow f (x)$ is not differentiable at $x = - 5$ At $x = 5$ L.H.D. $= 2 x = 25$ R.H.D. $= 0$ $\Rightarrow f (x)$ is not differentiable at $x = 5$ $\Rightarrow k = 2$ $k - 2 = 2 - 2 = 0$

Stream:BITSATSubject:MathematicsTopic:Continuity - DifferentiabilitySubtopic:Differentiability

⏱ 2mℹ️ Source: PYQ_2024

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