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&=& 2x. \nonumber  \end{eqnarray}  \subsubsection*{Complex derivative of a function} Suppose $f: \complex^n \to \reals$ is a real-valued function defined for $x \in \complex^n$. The derivative $Df(x)$ is a $1 \times n matrix$ and  defined as \\ \begin{equation}  \label{eqn:derivative}  Df(x) = \left[ \frac{\partial f}{\partial x_1}(x), \dots, \frac{\partial f}{\partial x_n}(x) \right].