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Math Help - Formulating a NLP

  1. #1
    lpd
    lpd is offline
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    Formulating a NLP

    Hi I'm a bit stuck in this question.

    Consider the problem of finding the point on the curve y = x^3/2 that is closest to the point (1, 0).

    Model this problem as a non-linear program (NLP) with a single equality constraint.

    min (x-1)^2 + y^2
    subject to y = x^(3/2)

    or would I need... a squareroot on my objective function?
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  2. #2
    MHF Contributor

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    You do NOT need a square root. The derivative of u^2 is 2uu' which is 0 only if u= 0 (which cannot happen here, the curve does not go through the point) or if u'= 0 which is what you want.
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