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QJEEM21Maae3a: JEE Main 2021 Mathematics - Class 12 JEEM21Maae3a Solution: A function f is defined on [ 3, 3] as f ( x ) = { min {

A function f is defined on [ −- 3, 3] as

f(x)={min{|x|,2−x2},−2≤x≤2[|x|],2<|x|≤3 where [x] denotes the greatest integer ≤\le x. The number of points, where f is not differentiable in ( −- 3, 3) is ___________.

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JEE Main 2021 (Online) 25th February Evening Shift Mathematics - Limits, Continuity and Differentiability Question 140 English Explanation
Points of non-differentiability in ( −- 3, 3) are at x = −- 2, −- 1, 0, 1, 2.

i.e. 5 points.

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