JEE Main 2024 Mathematics question
Let for a differentiable function f : (0, ∞) → R, , ∀ x, y ∈ (0, ∞). Then is equal to .
Answer: 2890
Solution
Putting x → x + h, y = x and letting h → 0⁺ gives f′(x) ≥ 1/x + 1. Interchanging the roles (y → x + h)
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