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Mathematics - Continuity - Differentiability Question with Solution | TestHub

MathematicsContinuity - DifferentiabilityDifferentiabilityEasy2 minPYQ_2006

MathematicsEasymultiple choice

If $f (x) = min {1, x^{2}, x^{3}}$ , then

Options:(select one or more)

Answer:

A, D

Solution:

Here, $f (x) = min . {1, x^{2}, x^{3}}$ which could be graphically shown as $∴ f (x) = {1, x \geq 1 x^{3}, x < 1$
$\Rightarrow f (x) is continuous for x \in R and not differentiable at x = 1 due to sharp edge.$

Stream:JEE_ADVSubject:MathematicsTopic:Continuity - DifferentiabilitySubtopic:Differentiability

⏱ 2mℹ️ Source: PYQ_2006

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