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Application of Derivatives question

2022 · 26 Jun · Shift 1 · Q32
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  5. /2022 · 26 Jun · Shift 1 · Q32

Application of Derivatives question

2022 · 26 Jun · Shift 1 · Q32

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1
Let f(x)=2cos⁡−1x+4cot⁡−1x−3x2−2x+10f(x) = 2{\cos ^{ - 1}}x + 4{\cot ^{ - 1}}x - 3{x^2} - 2x + 10f(x)=2cos−1x+4cot−1x−3x2−2x+10, x∈[−1,1]x \in [ - 1,1]x∈[−1,1]. If [a, b] is the range of the function f, then 4a −-− b is equal to :
  1. A
    11
  2. B
    11 −π-\pi−π
  3. C
    11 + π\piπ
  4. D
    15 −π-\pi−π
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