Derivatives

OCW is pleased to make this textbook available online. Published in 1991 and still in print from Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. There is also an online Instructor's Manual and a student Study Guide.

Textbook Components

• Table of Contents (PDF)
• Answers to Odd-Numbered Problems (PDF)
• Equations (PDF)

2: Derivatives, pp. 44-90

2.1 The Derivative of a Function, pp. 44-49
2.2 Powers and Polynomials, pp. 50-57
2.3 The Slope and the Tangent Line, pp. 58-63
2.4 Derivative of the Sine and Cosine, pp. 64-70
2.5 The Product and Quotient and Power Rules, pp. 71-77
2.6 Limits, pp. 78-84
2.7 Continuous Functions, pp. 85-90

Chapter 2 - complete ((PDF - 4.3 MB))

Chapter 2 - sections:

2.1 - 2.4 (PDF - 2.6 MB)
2.5 - 2.7 (PDF - 2.0 MB)

3: Applications of the Derivative, pp. 91-153

3.1 Linear Approximation, pp. 91-95
3.2 Maximum and Minimum Problems, pp. 96-104
3.3 Second Derivatives: Minimum vs. Maximum, pp. 105-111
3.4 Graphs, pp. 112-120
3.5 Ellipses, Parabolas, and Hyperbolas, pp. 121-129
3.6 Iterations x[n+1] = F(x[n]), pp. 130-136
3.7 Newton's Method and Chaos, pp. 137-145
3.8 The Mean Value Theorem and l'Hopital's Rule, pp. 146-153

Chapter 3 - complete (PDF - 5.9 MB)

Chapter 3 - sections:

3.1 - 3.4 (PDF - 3.2 MB)
3.5 - 3.8 (PDF - 3.3 MB)

Sumber:

MIT Open Ourse Ware