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JEE Main 2026 Mathematics question

MathematicsContinuity and DifferentiabilityJEE Main 2026

Consider the following three statements for the function defined by : (I) f is differentiable for all . (II) f is increasing in . (III) f is decreasing in . Then.

Answer: (4)

Solution

is piecewise defined and differentiable everywhere with . Computing shows

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Question ID VK-001457