derivative of a complex argument

From: "Menderes ISKIN" <gtg658i@xxxxxxxxxxxxxxx>
Date: Mon, 30 May 2005 16:18:26 -0400

How do we take the derivative of a complex argument, is it well defined?
Let's say I have a complex function: Z(x) = a(x) + ib(x)
and I need the derivative of complex argument with respect to x.
d[\theta(x)]/dx = ?

menderes

.

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