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Gradient of an absolute value raise to a power

  1. Mar 17, 2013 #1
    1. The problem statement, all variables and given/known data

    Show that ∇[itex]_{x}[/itex]|x-y|-3= -(x-y)|x-y|-3

    x and y are vectors.

    2. Relevant equations

    3. The attempt at a solution

    When dealing with just a straight up absolute value I know that a solution can be found by using a piece wise approach, but I don't think that's what I should be using here. The power is throwing me completely and I have no idea how to deal with it.

    Last edited: Mar 17, 2013
  2. jcsd
  3. Mar 17, 2013 #2


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    Yes, the piecewise approach is what you should be using here.

    Show us your attempt so we can help you.
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