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Absolute Error of a Given Function

  1. Oct 15, 2009 #1
    1. The problem statement, all variables and given/known data

    Find the absolute error for the following function:

    f = (xy/z)+5w


    2. Relevant equations

    Equation for an error vector:
    df = (df/dw)dw + (df/dx)dx + (df/dy)dy + (df/dz)dz

    Equation for the absolute error:
    (df)^2 = (df/dw)^2(dw)^2 + (df/dx)^2(dx)^2 + (df/dy)^2(dy)^2 + (df/dz)^2(dz)^2


    3. The attempt at a solution

    I found what I hope are the correct partial derivatives :

    df/dw = 5

    df/dx = y/z

    df/dy = x/z

    df/dz = (-xy)/z

    I just don't know what to do now that I've found the partial derivatives. Do I just substitute it into my second equation, or are there more steps after that?

    Thanks!
     
  2. jcsd
  3. Oct 15, 2009 #2
    double check all of your derivatives, and then yes, the next steps are plug and play.
     
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