JEE Mains · Maths · STD 12 - 5. continuity and differentiation
Let \(f\left( x \right) = \left\{ \begin{array}{l}
\max \left\{ {\left| x \right|,{x^2}} \right\},\,\,\,\,\left| x \right| \le 2\\
8 - 2\left| x \right|,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,2 < \left| x \right| \le 4\,\,\,\,
\end{array} \right.\). Let \(S\) be the set of points in the interval \((-4, 4)\) at which \(f\) is not differentiable. Then \(S\)
- A is an empty set
- B equals \(\left\{ { - 2, - 1,0,1,2} \right\}\)
- C equals \(\{-2, -1, 1, 2\}\)
- D equals \(\{-2, 2\}\)
Answer & Solution
Correct Answer
(B) equals \(\left\{ { - 2, - 1,0,1,2} \right\}\)
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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