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Recitation 13   \hfill \course\\
8 October 1998  \hfill \semester \\

\medskip

{\bf Reminders}: 
1. A notebook is on reserve in the math library for this course. This
notebook  contains tests from last year and  solutions to tests,
homework, quizzes and 
projects. The math library is located in the basement of the Patterson
Office  Tower. 

2. The next homework is due on Wednesday, 14 October. The assignment is
\S2.5 \#8, \S2.6 \#8, \S2.7 \#8.  

3. The second exam will be Tuesday night, 19 October from 7:30 to
9:30 in CB114.






\medskip
 
Below is a selection of problems related to sections 2.7 and 2.8.
These problems will not be collected or graded. However, you should
understand how to work each of these problems.  You should begin
working on these problems in groups in recitation. You will probably
want to finish these problems outside of class. 
 If you have questions,
please ask your TA or instructor. If you find a problem difficult,
consider working similar problems from the text for additional practice.

\begin{enumerate}

\item (Review, \S2.3) Find the limit by simplifying and then using the limit laws.
$$
\lim_{x\rightarrow 3} \frac {x^2 + 2x -15} { x^2 -9} 
$$


\item \S 2.7  \#3, 5, 13, 15, 27.
\item \S 2.8 \#3, 5, 7, 9, 14, 21, 23, 33, 35.

\item You will be expected to find derivatives using the
definition. Please make sure that you know how to find the derivatives
of the following functions:
$$
f(x)=2x^2 +3x, \qquad g(x) = \frac 1 { x^2 + 2x},  \qquad h(x) = \sqrt
{2x+1}.
$$

\item Sketch the derivative of the function whose graph appears
below. Your answer should correctly and clear indicate: 1) points
where the derivative is zero, 2) points where the derivative does not
exist, 3) points where there the derivative does not exist but  has a
limit  (or 
one-sided limit) of $\pm \infty$, 4) intervals where the derivatives
is positive or negative.






\end{enumerate}

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