Section 3.1
There are only two types of problems:
  1. Average velocity or slope of a secant line.
Both of these problems are solved using the formula
.
  1. Instantaneous velocity or slope of a tangent line.
Both of these problems are solved using the formula

Click here to see an animation illustrating the fact that the tangent line is the limiting position of the secant lines.
A better animation with audio is at www.calculus-help.com. The author uses "delta-x" to represent what we are calling h. Also, don't worry about knowing the word "derivative" he uses.

Additional homework for this lesson, which requires Adobe Acrobat Reader to view, is here.