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JEE Main 2023 · 25 Jan · Shift 1

JEE Main 2023 Mathematics question on Application of Derivatives

Let x=2x = 2 be a local minima of the function f(x)=2x4−18x2+8x+12f(x) = 2x^4 - 18x^2 + 8x + 12, x∈(−4,4)x \in (-4, 4). If M is local maximum value of the function ff in (−4,4)(-4, 4), then M=M =
  1. A.
    186−33218\sqrt{6} - \dfrac{33}{2}
  2. B.
    126−31212\sqrt{6} - \dfrac{31}{2}
  3. C.
    186−31218\sqrt{6} - \dfrac{31}{2}
  4. D.
    126−33212\sqrt{6} - \dfrac{33}{2}
Show answer

Correct option: D

[JEE Main 2023 · 25 Jan · Shift 1]

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