Mathematics - Continuity - Differentiability Question with Solution | TestHub

MathematicsContinuity - DifferentiabilityDifferentiabilityMedium2 minPYQ_2019

MathematicsMediumsingle choice

Let $S$ be the set of all points in $(- π, π)$ at which the function, $f (x) = \min \{\sin x, \cos x\}$ is not differentiable. Then $S$ is a subset of which of the following?

Options:

Answer:

Solution:

Sharp points are at $\frac{- 3 π}{4}$ and $\frac{π}{4}$ .

$∴$ Set of non-differentiable points of function are $\{- \frac{3 π}{4}, \frac{π}{4}\}$ which is a subset of $\{- \frac{3 π}{4}, - \frac{π}{4}, \frac{3 π}{4}, \frac{π}{4}\}$ .

Stream:JEESubject:MathematicsTopic:Continuity - DifferentiabilitySubtopic:Differentiability

⏱ 2mℹ️ Source: PYQ_2019

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