Fundamentholfundamenthol
JEE Main2019Math
Q.

Let f\left( x \right) = \,\left\{ {\begin{array}{*{20}{c}} {\max \left\{ {\left| x \right|,{x^2}} \right\},}{\left| x \right| \leqslant 2} \\ {8 - 2\left| x \right|,}{2 < \left| x \right| \leqslant 4} \end{array}} \right. Let S be the set of points in the interval (–4,4)

at which f is not differentiable. Then S:

  1. A

    is an empty set 

  2. B

    equals {–2, –1, 1, 2}

  3. C

    equals {–2, –1, 0, 1, 2}

  4. D

    equals {–2, 2}

Solution

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