- Page 1 and 2: Yet Another Calculus Text A Short I
- Page 3: Preface I intend this book to be, f
- Page 7 and 8: Chapter 1 Derivatives 1.1 The arrow
- Page 9 and 10: 1.2. RATES OF CHANGE 3 determinate
- Page 11 and 12: 1.2. RATES OF CHANGE 5 Exercise 1.2
- Page 13 and 14: 1.3. THE HYPERREALS 7 To find the r
- Page 15 and 16: 1.4. CONTINUOUS FUNCTIONS 9 the dis
- Page 17 and 18: 1.4. CONTINUOUS FUNCTIONS 11 Simila
- Page 19 and 20: 1.5. PROPERTIES OF CONTINUOUS FUNCT
- Page 21 and 22: 1.5. PROPERTIES OF CONTINUOUS FUNCT
- Page 23 and 24: 1.5. PROPERTIES OF CONTINUOUS FUNCT
- Page 25 and 26: 1.5. PROPERTIES OF CONTINUOUS FUNCT
- Page 27 and 28: 1.5. PROPERTIES OF CONTINUOUS FUNCT
- Page 29 and 30: 1.6. THE DERIVATIVE 23 y 10 8 6 4 y
- Page 31 and 32: 1.6. THE DERIVATIVE 25 y 1 y = x 2
- Page 33 and 34: 1.7. PROPERTIES OF DERIVATIVES 27 1
- Page 35 and 36: 1.7. PROPERTIES OF DERIVATIVES 29 a
- Page 37 and 38: 1.7. PROPERTIES OF DERIVATIVES 31 T
- Page 39 and 40: 1.7. PROPERTIES OF DERIVATIVES 33 1
- Page 41 and 42: 1.7. PROPERTIES OF DERIVATIVES 35 o
- Page 43 and 44: 1.7. PROPERTIES OF DERIVATIVES 37 E
- Page 45 and 46: 1.8. A GEOMETRIC INTERPRETATION OF
- Page 47 and 48: 1.9. INCREASING, DECREASING, AND LO
- Page 49 and 50: 1.9. INCREASING, DECREASING, AND LO
- Page 51 and 52: 1.10. OPTIMIZATION 45 y 10 y = x +2
- Page 53 and 54: 1.10. OPTIMIZATION 47 y 6 5 4 3 2 y
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1.10. OPTIMIZATION 49 y 5 4 3 2 1 4
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1.10. OPTIMIZATION 51 y 4 3 y = x 2
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1.11. IMPLICIT DIFFERENTIATION AND
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1.11. IMPLICIT DIFFERENTIATION AND
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1.12. HIGHER-ORDER DERIVATIVES 57 D
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1.12. HIGHER-ORDER DERIVATIVES 59 1
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1.12. HIGHER-ORDER DERIVATIVES 61 y
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Chapter 2 Integrals 2.1 Integrals W
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2.1. INTEGRALS 65 From our rules fo
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2.1. INTEGRALS 67 Exercise 2.1.2. F
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2.2. DEFINITE INTEGRALS 69 2.2 Defi
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2.2. DEFINITE INTEGRALS 71 integral
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2.3. PROPERTIES OF DEFINITE INTEGRA
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2.4. THE FUNDAMENTAL THEOREM OF INT
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2.4. THE FUNDAMENTAL THEOREM OF INT
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2.5. APPLICATIONS OF DEFINITE INTEG
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2.5. APPLICATIONS OF DEFINITE INTEG
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2.5. APPLICATIONS OF DEFINITE INTEG
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2.5. APPLICATIONS OF DEFINITE INTEG
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2.5. APPLICATIONS OF DEFINITE INTEG
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2.5. APPLICATIONS OF DEFINITE INTEG
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2.6. SOME TECHNIQUES FOR EVALUATING
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2.6. SOME TECHNIQUES FOR EVALUATING
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2.6. SOME TECHNIQUES FOR EVALUATING
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2.6. SOME TECHNIQUES FOR EVALUATING
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2.6. SOME TECHNIQUES FOR EVALUATING
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2.6. SOME TECHNIQUES FOR EVALUATING
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2.6. SOME TECHNIQUES FOR EVALUATING
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2.6. SOME TECHNIQUES FOR EVALUATING
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2.6. SOME TECHNIQUES FOR EVALUATING
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2.6. SOME TECHNIQUES FOR EVALUATING
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2.7. THE EXPONENTIAL AND LOGARITHM
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2.7. THE EXPONENTIAL AND LOGARITHM
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2.7. THE EXPONENTIAL AND LOGARITHM
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2.7. THE EXPONENTIAL AND LOGARITHM
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2.7. THE EXPONENTIAL AND LOGARITHM
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2.7. THE EXPONENTIAL AND LOGARITHM
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2.7. THE EXPONENTIAL AND LOGARITHM
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2.7. THE EXPONENTIAL AND LOGARITHM
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2.7. THE EXPONENTIAL AND LOGARITHM
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Answers to Exercises 1.2.1. (a) 32
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1.7.11. dy dx∣ = 216 x=1 131 1.7.
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1.11.2. dy dx∣ = − 7 (x,y)=(2,
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135 2.5.9. 8π 3 2.5.10. 2π 3 2.5.
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137 2.6.22. ∫ π 2 0 sin(x)sin(2x
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139 2.7.20. ∫ 1 0 x +14 x 2 dx =5
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INDEX 141 partial fractions, 123, 1