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Math Help - rate of change

  1. #1
    Junior Member
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    rate of change

    A point moves along the curve y = x^2 + 1 so that the x-coordinate is increasing at the constant rate of 3/2 units per second. What is the rate, in units per second, at which the distance from the origin is changing when the point has coordinate (1,2)?

    I thought that  \frac {2}{3} x = t and that would make  \frac {2}{3} \sqrt{(y-1)} = t and then I would only have to find the rate of change, but I think thats wrong.
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  2. #2
    MHF Contributor
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    y = x^{2} + 1

    dy = 2x(dx)

    Given x = 1 and dx = 3/2, calculating dy is simple.
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