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Homework Help: Cauchy-Riemann equations

  1. Apr 21, 2009 #1
    1. The problem statement, all variables and given/known data
    Using Cauchy-Riemann equations show that f(z)=Re(z)Im(z)+i Im(z) is differentiable at only one point in C and find this point

    2. Relevant equations

    3. The attempt at a solution
    no idea about this question , can i set Re(z)=u Im(z)=v
    then U=uv V=v
    and the point is o ???
  2. jcsd
  3. Apr 21, 2009 #2


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    Homework Helper
    Gold Member

    If z = x + iy, then Re(z) = x and Im(z) = y.
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