JEE Main 2024 Mathematics question
Let f : (−∞, ∞) − {0} → R be a differentiable function such that . Then is equal to
Answer: (C)
Solution
As per the printed key, the bracket is read as a²f(1/a) with f(x) = ½(1 + x)tan⁻¹x + 1 + 2x² ln x. Then f′(1) = π/8 + 1/2 + 0 + 2 =
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