1. Calculus Chapter 2 SECTION 2: THE DERIVATIVE AND THE TANGENT LINE PROBLEM 1

2. The Tangent Line Problem What does it mean to say that a line is tangent to a curve at a point? Looking at Page 91 what is the difficulty with the definition we have? 2

3. The Tangent Line Problem 3

4. 4

5. Example 1 (Page 93) 5

6. Example 1 (Page 93)-Continued 6

7. Definition of the Derivative of a Function 7

8. The Derivative of a Function 8

9. Derivative of a Function 9

10. Example 3 (Page 95) 10

11. Example 3 (Page 95) 11

12. Differentiability and Continuity 12

13. Differentiability Implies Continuity 13

14. Homework SECTION 2.1 ASSIGNMENT: PAGE 98 #1-22, #25-33, #51-66 GRADED PORTION: #4, #8, #12, #26, #28, #30, #32, #52 DUE DATE: 11/25/2015 14