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Complex Derivative

  1. Sep 30, 2009 #1
    1. The problem statement, all variables and given/known data
    f(z) = xy + i(xy+x)

    has a derivative at exactly one point after locating the point find the derivative there and give the numerical value is the function analytic at this point?


    2. Relevant equations

    My C-R equations are du/dx = y, dv/dy = x, dv/dx = y+1, du/dy = x

    3. The attempt at a solution
    i dont really know how to interpret the C-R equations.
    answer is z = -1/2 - i/2 f ' = -1/2 + i/2 and not analytic
     
  2. jcsd
  3. Sep 30, 2009 #2

    lanedance

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    Homework Helper

    CR actually means a relation satisfied by the partial derviatives for a complex function to be analytic (holomorphic)

    you have only given the partial derivatives, do you know the CR equations?
     
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