Stewart Calculus 8E Early Trans

ISBN:
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Chapter 1 Functions and Models

Chapter 2 Limits and Derivatives

Chapter 3 ￼￼Differentiation Rules

3.1 Derivatives of Polynomials and Exponential Functions

86

3.2 The Product and Quotient Rules

73

3.3 Derivatives of Trigonometric Functions

66

3.4 The Chain Rule

95

3.5 Implicit Differentiation

74

3.6 Derivatives of Logarithmic Functions

55

3.7 Rates of Change in the Natural and Social Sciences

18

3.8 Exponential Growth and Decay

4

3.9 Related Rates

29

3.10

5

3.11 Hyperbolic Functions

Chapter 4 Applications of Differentiation

4.1 Maximum and Minimum Values

32

4.2 The Mean Value Theorem

33

4.3 How Derivatives Affect the Shape of a Graph

32

4.4 Indeterminate Forms and l’Hospital’s Rule

44

4.5 Summary of Curve Sketching

40

4.6 Graphing with Calculus and Calculators

4.7 Optimization Problems

6

4.8 Newton’s Method

4.9 Antiderivatives

75

4.10 Tutorial of Challenging Problems!

2

Chapter 5 Integrals

Chapter 6 Application of Integration

Chapter 7 Techniques of Integration

7.1 Integration by Parts

63

7.2 Trigonometric Integrals

48

7.3 Trigonometric Substitution

23

7.4 Integration of Rational Functions by Partial Fractions

31

7.7 Errors in Estimated Sums

7

7.8 Improper Integrals

31

7.5 Strategy for Integration

7.6 - integration Using Tables and Computer Algebra Systems

Chapter 8 Further Applications of Integration

Chapter 9 Differential Equations

Chapter 10 Parametric Equations and Polar Coordinates

Chapter 11 Infinite Sequences and Series

11.1 Sequences

31

11.2 Series

28

11.3 The Integral Test and Estimates of Sums

19

11.4 The Comparison Test

24

11.5 Alternating Series

22

11.6 Absolute Convergence and the Ratio and Root Tests

22

11.8 Power Series

19

11.9 Representations of Functions as Power Series

6

11.10 Taylor and Maclaurin Series

3

11.11 Applications of Taylor Polynomials

11.7 Strategy for Testing Series