Chapter 2 Differentiation Definition of a Tangent Line

Chapter 2 Differentiation

Definition of a Tangent Line with Slope m Copyright © Houghton Mifflin Company. All rights reserved. 2

Definition of the Derivative of a Function Copyright © Houghton Mifflin Company. All rights reserved. 3

Theorem 2. 1 Differentiability Implies Continiuty Copyright © Houghton Mifflin Company. All rights reserved. 4

Theorem 2. 2 The Constant Rule and Figure 2. 14 Copyright © Houghton Mifflin Company. All rights reserved. 5

Theorem 2. 3 The Power Rule Copyright © Houghton Mifflin Company. All rights reserved. 6

Theorem 2. 4 The Constant Multiple Rule Copyright © Houghton Mifflin Company. All rights reserved. 7

Theorem 2. 5 The Sum and Difference Rules Copyright © Houghton Mifflin Company. All rights reserved. 8

Theorem 2. 6 Derivatives of Sine and Cosine Functions Copyright © Houghton Mifflin Company. All rights reserved. 9

Theorem 2. 7 The Product Rule Copyright © Houghton Mifflin Company. All rights reserved. 10

Theorem 2. 8 The Quotient Rule Copyright © Houghton Mifflin Company. All rights reserved. 11

Theorem 2. 9 Derivatives of Trigonometric Function Copyright © Houghton Mifflin Company. All rights reserved. 12

Theorem 2. 10 The Chain Rule Copyright © Houghton Mifflin Company. All rights reserved. 13

Theorem 2. 11 The General Power Rule Copyright © Houghton Mifflin Company. All rights reserved. 14

Summary of Differentiation Rules Copyright © Houghton Mifflin Company. All rights reserved. 15

Guidelines for Implicit Differentiation Copyright © Houghton Mifflin Company. All rights reserved. 16

Guidelines for Solving Related-Rate Problems Copyright © Houghton Mifflin Company. All rights reserved. 17