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JEE Main202125 Feb 2021Evening ShiftMathematicsContinuity and DifferentiabilityActual

A function f is defined on [ - 3 , 3 ] as f x = min | x | , 2 - x 2 , - 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 ___ .

Correct answer

0

Step-by-step solution

f x = min | x | , 2 - x 2 , - 2 ≤ x ≤ 2 [ | x | ]    ,    2 < | x | ≤ 3 ⇒ x ∈ [ - 3 , - 2 ) ∪ ( 2 , 3 ] Number of points of non-differentiability in - 3 , 3 = 5

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