Mathematics

Mathematics

Problem

Let f(x)=2cos⁡−1x+4cot⁡−1x−3x2−2x+10f(x) = 2\cos^{-1}x + 4\cot^{-1}x - 3x^2 - 2x + 10, x∈[−1,1]x \in [-1, 1]. If [a,b][a, b] is the range of the function then 4a−b4a - b is equal to: [Main June 26, 2022 (I)] (a) 11 (b) 11−π11 - \pi (c) 11+π11 + \pi (d) 15−π15 - \pi

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