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MCQMediumJEE Main 2023 · 25 January, Shift 1Applications of Derivatives (Monotonicity, Extrema)

Mathematics Question from JEE Main 2023 · 25 January, Shift 1

Let x=2x = 2 be a local minima of the function f(x)=2x4−18x2+8x+12,x∈(−4,4).f(x) = 2x^4 - 18x^2 + 8x + 12, \quad x \in (-4, 4). If MM is the local maximum value of the function f(x)f(x) in (−4,4)(-4, 4), then MM is:

  • A

    126−33212\sqrt{6} - \frac{33}{2}

  • B

    126−31212\sqrt{6} - \frac{31}{2}

  • C

    186−33218\sqrt{6} - \frac{33}{2}

  • D

    186−31218\sqrt{6} - \frac{31}{2}

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