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JEE Mains · Maths · STD 12 - 5. continuity and differentiation

જો \(f\left( x \right) = \left\{ \begin{array}{l}
\max \left\{ {\left| x \right|,{x^2}} \right\},\,\,\,\,\left| x \right| \le 2\\
8 - 2\left| x \right|,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,2 < \left| x \right| \le 4\,\,\,\,
\end{array} \right.\) . જો ગણ \(S\) એ બિંદુઓનો ગણ છે કે અંતરાલ  \((-4, 4)\) માં \(f\) એ વિકલનીય ન હોય તો \(S\) એ  . . . 

  1. A ખાલી ગણ 
  2. B  \(\left\{ { - 2, - 1,0,1,2} \right\}\)
  3. C \(\{-2, -1, 1, 2\}\)
  4. D \(\{-2, 2\}\)
Verified Solution

Answer & Solution

Correct Answer

(B)  \(\left\{ { - 2, - 1,0,1,2} \right\}\)

Step-by-step Solution

Detailed explanation

From the graph we can easily conclude that \(f (x)\) is non -derivable at \(x = -2,-1,0,1,2\)
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