\documentclass [12pt] {article}

\usepackage{graphicx, xypic, amsmath}

\topmargin 0pt
\advance \topmargin by -\headheight
\advance \topmargin by -\headsep
\textheight 8.9in
\oddsidemargin 0pt
\evensidemargin \oddsidemargin
\marginparwidth 0.5in
\textwidth 6.5in

\begin{document}
\begin{center}

\Huge{
Derivative Properties}
\end{center}
~\\
\normalsize

\noindent Note: a personal copy of this worksheet may be used during the quiz next Tuesday.

\noindent Recall some of the properties you already discovered:
\begin{enumerate}
\item Let $\alpha(x)=3.1$.

\begin{enumerate}
\item Draw the graph of $\alpha$.

\vspace{-.5in} \hspace{2in} \includegraphics[height=2.3in]{blank_5}

\vspace{-1.5in}
\item Sketch $\alpha'(x)$ on the \\same axis.
\vskip .5in
\item Find $\alpha'(x)$ algebraically.
\vskip 3in
\end{enumerate}

\noindent Generalize your above work and finish the following sentence:  

\noindent \large{If $f(x)=k$ for some constant $k$, then $f'(x)=$}


\newpage
\normalsize
\item Let $\beta(x)=-2.7x+4$.

\begin{enumerate}
\item Draw the graph of $\beta$.

\vspace{-.5in} \hspace{2in} \includegraphics[height=2.3in]{blank_5}

\vspace{-1.5in}
\item Sketch $\beta'(x)$ on the \\same axis.
\vskip .5in
\item Find $\beta'(x)$ algebraically.
\vskip 3.5in
\end{enumerate}

\noindent Generalize your above work and finish the following sentence:  

\noindent \large{If $g(x)=mx+b$ for constants $m$ and $b$, then $g'(x)=$}

\end{enumerate}

\end{document}
