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\begin{document}


\title{On-line Math 21}


\email{david.johnson@lehigh.edu}


\urladdr{http://www.lehigh.edu/\textasciitilde{}dlj0}

\maketitle

\section{The derivative}


\subsection{Definition and first examples}

This section presents frist the definition of the derivative as a limit, then
applies that definition in a number of different contexts to explain what information
the derivative provides. 


\subsection{Differentiation rules}

There are a number of steps needed to compute the derivative of a complex expression
in terms of the pieces of the expression. 


\subsection{Higher derivatives}

The derivative of a function is just another function, and it, too, may have
a derivative. The derivative of the derivative, called the second derivative
of the original function, measures finer features of the original function.


\subsection{Uses for the derivative}

Velocity-acceleration problems, linear approximation. Related-rates problems

\end{document}
