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Limits Continuity and Differentiability question

2019 · 10 Jan · Shift 1 · Q31

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JEE Main
Mathematics
Limits Continuity and Differentiability
2019 · 10 Jan · Shift 1 · Q31

Limits Continuity and Differentiability question

2019 · 10 Jan · Shift 1 · Q31

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let

f\left( x \right) = \left\{ {\begin{matrix} {\max \left\{ {\left| x \right|,{x^2}} \right\}} & {\left| x \right| \le 2} \\ {8 - 2\left| x \right|} & {2 \lt \left| x \right| \le 4} \\ \end{matrix} } \right.

Let S be the set of points in the interval (– 4, 4) at which f is not differentiable. Then S

A
equals $\left\{ { - 2, - 1,1,2} \right\}$
B
equals $\left\{ { - 2, - 1,0,1,2} \right\}$
C
equals $\left\{ { - 2,2} \right\}$
D
is an empty set

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