2. Key Concept -- The Derivative (I)

[This is the material that will be covered in Class #9.]

The purpose of this section is introduce two problems, one physical and the other geometrical, both leading to the definition of the derivative at a point. The student should also learn the rules for calculating limits of polynomials and limits of quotients of polynomials.

The Velocity Problem and The Tangent Problem

Background: Limits

Solution of the Velocity Problem and the Tangent Problem

The Derivative at a Point

Homework