JEE Main 2026 Mathematics question

MathematicsApplication of DerivativesJEE Main 2026

Let be a twice differentiable function such that for all and , where is a real number. Let , . Consider the following two statements: (I) g is increasing in (II) g is decreasing in Then,

Answer: (1)

Solution

, so . Since term is always positive, sign of

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Question ID VK-000997