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Limits Continuity and Differentiability question

2019 · 12 Jan · Shift 1 · Q37

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JEE Main
Mathematics
Limits Continuity and Differentiability
2019 · 12 Jan · Shift 1 · Q37

Limits Continuity and Differentiability question

2019 · 12 Jan · Shift 1 · Q37

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let S be the set of all points in (–

\pi

,

\pi

) at which the function, f(x) = min{sin x, cos x} is not differentiable. Then S is a subset of which of the following ?

A
$\left\{ { - {\pi \over 2}, - {\pi \over 4},{\pi \over 4},{\pi \over 2}} \right\}$
B
$\left\{ { - {{3\pi } \over 4}, - {\pi \over 2},{\pi \over 2},{{3\pi } \over 4}} \right\}$
C
$\left\{ { - {\pi \over 4},0,{\pi \over 4}} \right\}$
D
$\left\{ { - {{3\pi } \over 4}, - {\pi \over 4},{{3\pi } \over 4},{\pi \over 4}} \right\}$

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