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MCQMediumJEE Main 2024 · 29 January, Shift 2Applications of Derivatives (Monotonicity, Extrema)

Mathematics Question from JEE Main 2024 · 29 January, Shift 2

The function f(x)=2x+3x2/3,x∈Rf(x) = 2x + 3x^{2/3}, x \in R, has:

  • A

    Exactly one point of local minima and no point of local maxima.

  • B

    Exactly one point of local maxima and no point of local minima.

  • C

    Exactly one point of local maxima and exactly one point of local minima.

  • D

    Exactly two points of local maxima and exactly one point of local minima.

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