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Math Help - How to find the point on the curve nearest to A(3,0)?

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    How to find the point on the curve nearest to A(3,0)?

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    Last edited by AlphaRock; April 1st 2009 at 01:44 AM.
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    Quote Originally Posted by AlphaRock View Post
    Given: f(x) = -(x^2).

    Find the point on the curve that is nearest to A(3,0).

    Can somebody show me how we do this?
    point on the curve ... (x,-x^2)

    distance formula ...

    D = \sqrt{(x-3)^2 + (-x^2 - 0)^2}

    D = \sqrt{x^4 + x^2 - 6x + 9}

    if x^4 + x^2 - 6x + 9 is minimized, then so is D.
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    (deleted)
    Last edited by AlphaRock; April 1st 2009 at 01:45 AM.
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