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Homework Help: Complex Variables

  1. Aug 20, 2012 #1
    1. The problem statement, all variables and given/known data

    Determine the set on which f(z) = 1/(z^3 +1) is analytic and compute its derivative.

    2. Relevant equations

    Hint: you do not need to appeal to the Cauchy-Riemann equations

    3. The attempt at a solution
    Total stuck with this one. everything we have done this far has been using the c-r equations.

    Thanks for any input.
  2. jcsd
  3. Aug 20, 2012 #2


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    Homework Helper

    Ask yourself:

    1) Are there any values of z for which f(z) is not defined? If so, what are they, and what does it tell you about the analyticity of the function?

    2) When can you treat taking a derivative of a complex function ##\frac{df(z)}{dz}## just like taking a derivative of a real function?
  4. Aug 20, 2012 #3
    Are the function and derivatives defined everywhere?
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