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calculus

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Given the function: f(x)=x^3-4x^2+6x-3
a) Find the average rate of change of the function on the interval [2,4]
b)find the instantaneous rate of change of the function at x=3.

  • calculus -

    when x=2 , y = 1
    when x = 4, y = 27
    average rate of change between those points
    = (27-1)/(4-2) = 13

    f'(x) = 3x^2 - 8x + 6
    f'(3) = 27 - 24 + 6 = 9

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