lolgarithms Messages 120 Reaction score 0 Thread starter 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?
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?
Count Iblis Messages 1,859 Reaction score 8 Jul 14, 2009 #2 Yes, try to prove it using the definition of the complex derivative.