Here are a set of practice problems for the Applications of Derivatives
chapter of my Calculus I notes. If you
are viewing the pdf version of this document (as opposed to viewing it on the
web) this document contains only the problems themselves and no solutions are
included in this document. Solutions can
be found in a number of places on the site.
- If you’d like a pdf
document containing the solutions go to the note page for the section
you’d like solutions for and select the download solutions link from
there. Or,
- Go to the download page
for the site http://tutorial.math.lamar.edu/download.aspx
and select the section you’d like solutions for and a link will be
provided there.
- If you’d like to view the
solutions on the web or solutions to an individual problem you can go to
the problem set web page, select the problem you want the solution
for. At this point I do not provide
pdf versions of individual solutions, but for a particular problem you can
select “Printable View” from the “Solution Pane Options” to get a
printable version.
Note that some sections will have more problems than others
and some will have more or less of a variety of problems. Most sections should have a range of
difficulty levels in the problems although this will vary from section to
section.
Here is a list of topics in this chapter that have practice
problems written for them.
Rates of Change
Critical Points
Minimum and Maximum Values
Finding Absolute Extrema
The Shape of a Graph, Part I
The Shape of a Graph, Part II
The Mean Value Theorem
Optimization Problems
More Optimization Problems
L’Hospital’s Rule and Indeterminate Forms
Linear Approximations
Differentials
Newton’s Method
Business Applications