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MCQMediumJEE Main 2023 · 30 January, Shift 2Applications of Derivatives (Monotonicity, Extrema)

Mathematics Question from JEE Main 2023 · 30 January, Shift 2

If the functions f(x)=x33+2bx+ax22f(x) = \frac{x^3}{3} + 2bx + \frac{ax^2}{2} and g(x)=x33+ax+bx2,a≠2bg(x) = \frac{x^3}{3} + ax + bx^2, a \neq 2b have a common extreme point, then a+2b+7a + 2b + 7 is equal to:

  • A

    44

  • B

    32\frac{3}{2}

  • C

    33

  • D

    66

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