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March 27, 2017

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If an object is moving along the curve y=x^3, at what points is the y-coordinate changing 3 times more rapidly then the x-coordinate?

  • Calculus - ,

    y = 3x^2
    dy/dt = 6x dx/dt
    but dy/dt = 3 dx/dt
    3dx/dt = 6x dx/dt
    3 = 6x
    x = 1/2

    if x=1/2, y = (1/2)^3 = 1/8

    It would happen at the point (1/2 , 1/8)

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