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Power rule valid for any complex exponents?

  1. Jul 14, 2009 #1
    Is the power rule in calculus true for any complex exponents? i.e. does d/dz z^c = cz^(c-1) true for any c, even when c is something like i or 3i-2?
  2. jcsd
  3. Jul 14, 2009 #2
    Yes, try to prove it using the definition of the complex derivative.
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