Rates of Change
The purpose of this section is to remind us of one of the more important applications
of derivatives. That is the fact that
represents the rate of change
of
. This is an application that we repeatedly saw in the previous
chapter. Almost every section in the previous chapter contained at least one problem
dealing with this application of derivatives. While this application will arise
occasionally in this chapter we are going to focus more on other applications in this
chapter.
So, to make sure that we don’t forget about this application here is a brief set of
examples concentrating on the rate of change application of derivatives. Note that the
point of these examples is to remind you of material covered in the previous chapter
and not to teach you how to do these kinds of problems. If you don’t recall how to do
these kinds of examples you’ll need to go back and review the previous chapter.
Example 1
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 Fall '08
 sc
 Derivative, Rate Of Change, Pythagorean Theorem, Convex function

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