Section 2.6 Worksheet:

Assigned problems: Exercises pp. 122-123, #3, 4, 6, 8, 13, 16, 22, 24, 25 (due Tuesday)

1. How do we define the ``slope of the curve'' at a point, according to our author?

2. How is the slope of the tangent line to the graph of f at a defined in terms of limits?

3. How is the symbol `` '' used in this section? That is, what does it mean when applied to an x, as in `` ''?

4. Explain how we can write

   

5. How does figure 2, p. 116, help explain the fact that many people throughout history have believed that the earth is flat?

Notes:

1. If this section looks like review, in some ways it is: I've told you to keep your eye on the slope, and now you see why!