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\begin{document}

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\noindent{\Large{\textsc{Complex Variables \hfill Assignment 6.2  \\ Fall 2024 \hfill Due October 9}}}

\large

\vspace{1cm}

\begin{exercise}
If $n \in \Z$ and $f:\C \to \C$ is defined by $z^n$, prove that $f$ is analytic on $\C$ (or $\C^{\times}$ when $n<0$) and satisfies the power rule
\[
f'(z) = \frac{d}{dz} (z^n) = nz^{n-1},
\]
where we interpret $0\cdot z^{-1}$ as $0$ {\em for all} $z \in \C$.
\end{exercise}

\begin{exercise}
Textbook exercise 1.5.1.
\end{exercise}

\begin{exercise}
Textbook exercise 1.R.15.
\end{exercise}



\end{document}
