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Question: Answered & Verified by Expert

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

fx=min|x|,2-x2,-2x2[|x|]  ,  2<|x|3

where [x] denotes the greatest integer x. The number of points, where f is not differentiable in -3,3 is ___ .

MathematicsContinuity and DifferentiabilityJEE MainJEE Main 2021 (25 Feb Shift 2)
Solution:
2696 Upvotes Verified Answer
The correct answer is: 5

fx=min|x|,2-x2,-2x2[|x|]  ,  2<|x|3

x[-3,-2)(2,3]

Number of points of non-differentiability in -3,3=5

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