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Mathematics - Continuity - Differentiability Question with Solution | TestHub

MathematicsContinuity - DifferentiabilityDifferentiabilityMedium2 minPYQ_2020

MathematicsMediumsingle choice

Let $f : R \to R$ be a function defined by $f (x) = \max \{x, x^{2}\}$ .Let $S$ denote the set of all points in $R$ ,where $f$ is not differentiable.Then :

Question diagram: Let f : R → R be a function defined by f x = max x , x 2 .Le

Options:

Answer:

Solution:

From the graph we can say $\max \{x, x^{2}\}$ has $2$ sharp corners at $x = 0, 1$ .

$\Rightarrow$ Function is non-derivable at $x = 0 & 1$

Stream:JEESubject:MathematicsTopic:Continuity - DifferentiabilitySubtopic:Differentiability

⏱ 2mℹ️ Source: PYQ_2020

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