Calculus - Irl C. Bivens

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Résumé :

1 Limits and Continuity 1

1.1 Limits (An Intuitive Approach) 1

1.2 Computing Limits 13

1.3 Limits at Infinity...

Biographie:
Differentials 119

3 The Derivative in Graphing and Applications 130

3.1 Analysis of Functions I: Increase, Decrease, and Concavity 130

3.2 Analysis of Functions II: Relative Extrema...

Sommaire:
End Behavior of a Function 22

1.4 Limits (Discussed More Rigorously) 31

1.5 Continuity 40

1.6 Continuity of Trigonometric Functions 51

2 The Derivative 59

2.1 Tangent Lines and Rates of Change 59

2.2 The Derivative Function 69

2.3 Introduction to Techniques of Differentiation 80

2.4 The Product and Quotient Rules 88

2.5 Derivatives of Trigonometric Functions 93

2.6 The Chain Rule 98

2.7 Implicit Differentiation 105

2.8 Related Rates 112

2.9 Local Linear Approximation...