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    Rate of Change Formula

    Derivative

    d/dx(3 x^3 + 2 x) = 9 x^2 + 2

    Plots

    Plots

    Plots

    Geometric figure

    parabola

    Alternate form

    (sqrt(2) - 3 i x) (sqrt(2) + 3 i x)

    Complex roots

    x = -(i sqrt(2))/3

    x = (i sqrt(2))/3

    Roots in the complex plane

    Roots in the complex plane

    Polynomial discriminant

    Δ = -72

    Properties as a real function

    R (all real numbers)

    {y element R : y>=2}

    even

    Indefinite integral

    integral(2 + 9 x^2) dx = 3 x^3 + 2 x + constant

    Global minimum

    min{9 x^2 + 2} = 2 at x = 0

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