A function f is defined on [-3,3] as f(x)= \begin{cases}\min \{|x|, 2-x^{2}\}, -2 \leq x \leq 2 \ {[|x|]} , 2 < |x| \leq 3\end{cases} where, [x] denotes the greatest integer \leq x. The number of points, where f is not differentiable in (-3,3) is .......... . [25 Feb 2021 Shift 2]

Limits, Continuity and Differentiability Part 2

Section: Mathematics

Question : 95 of 100

Marks: +1, -0

A function f is defined on [−3,3] as
f(x)=begin‌cases‌min{|x|,2−x2},‌−2≤x≤2\[|x|]‌,2<|x|≤3‌end‌cases
where, [x] denotes the greatest integer ≤x. The number of points, where f is not differentiable in (−3,3) is .......... .

[25 Feb 2021 Shift 2]

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