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

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

The Tangent Line Problem 3

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Example 1 (Page 93) 5

Example 1 (Page 93)-Continued 6

Definition of the Derivative of a Function 7

The Derivative of a Function 8

Derivative of a Function 9

Example 3 (Page 95) 10

Example 3 (Page 95) 11

Differentiability and Continuity 12

Differentiability Implies Continuity 13

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/