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 ≤ x. The number of points, where f is not differentiable in (- 3, 3) is _ _ _ _ _ _.

Limit, Continuity and Differentiability: JEE Main 2021 Mathematics question

JEE Main 2021 · 25 Feb, Evening shift · Q39

JEE Main 202125 Feb, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

A function f is defined on [

-

3, 3] as

f(x) = \left\{ {\matrix{ {\min \{ |x|,2 - {x^2}\} ,} & { - 2 \le x \le 2} \cr {[|x|],} & {2 < |x| \le 3} \cr } } \right.

where [x] denotes the greatest integer

\le

x. The number of points, where f is not differentiable in (

-

3, 3) is ___________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 Limit, Continuity and Differentiability Question with Answer (25 Feb Evening shift, Q39) | JEE Arc