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Limits Continuity and Differentiability question

2021 · 25 Feb · Shift 2 · Q45
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Limits Continuity and Differentiability question

2021 · 25 Feb · Shift 2 · Q45

JEE MainMathematicsLimits Continuity and DifferentiabilityNumerical+4 / −1
A function f is defined on [−-− 3, 3] as f(x)={min⁡{∣x∣,2−x2},−2≤x≤2[∣x∣],2<∣x∣≤3f(x) = \left\{ {\begin{matrix} {\min \{ |x|,2 - {x^2}\} ,} & { - 2 \le x \le 2} \\ {[|x|],} & {2 \lt |x| \le 3} \\ \end{matrix} } \right.f(x)={min{∣x∣,2−x2},[∣x∣],​−2≤x≤22<∣x∣≤3​ where [x] denotes the greatest integer ≤\le≤ x. The number of points, where f is not differentiable in (−-− 3, 3) is ‾\underline{\hspace{2cm}}​.
Numerical answer
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