Active Calculus - Gvsu - Grand Valley State University

More documents

Recommendations

Info

46 2.4. DERIVATIVES OF OTHER TRIGONOMETRIC FUNCTIONSActivity 2.10.Let h(x) = sec(x) and recall that sec(x) = 1cos(x) .(a) What is the domain of h?(b) Use the quotient rule to develop a formula for h ′ (x) that is expressed completely interms of sin(x) and cos(x).(c) How can you use other relationships among trigonometric functions to write h ′ (x) onlyin terms of tan(x) and sec(x)?(d) What is the domain of h ′ ? How does this compare to the domain of h?⊳
2.4. DERIVATIVES OF OTHER TRIGONOMETRIC FUNCTIONS 47Activity 2.11.Let p(x) = csc(x) and recall that csc(x) = 1sin(x) .(a) What is the domain of p?(b) Use the quotient rule to develop a formula for p ′ (x) that is expressed completely interms of sin(x) and cos(x).(c) How can you use other relationships among trigonometric functions to write p ′ (x) onlyin terms of cot(x) and csc(x)?(d) What is the domain of p ′ ? How does this compare to the domain of p?⊳
Page 1: Active CalculusMatt Boelkins, Lead
Page 5 and 6: Chapter 1Understanding the Derivati
Page 7 and 8: 1.1. HOW DO WE MEASURE VELOCITY? 3A
Page 9 and 10: 1.2. THE NOTION OF LIMIT 51.2 The n
Page 11 and 12: 1.2. THE NOTION OF LIMIT 7Activity
Page 13 and 14: 1.3. THE DERIVATIVE OF A FUNCTION A
Page 15 and 16: 1.3. THE DERIVATIVE OF A FUNCTION A
Page 17 and 18: 1.4. THE DERIVATIVE FUNCTION 131.4
Page 19 and 20: 1.4. THE DERIVATIVE FUNCTION 15rsxx
Page 21 and 22: 1.5. INTERPRETING THE DERIVATIVE AN
Page 23 and 24: 1.5. INTERPRETING THE DERIVATIVE AN
Page 25 and 26: 1.6. THE SECOND DERIVATIVE 21(a) In
Page 27 and 28: 1.6. THE SECOND DERIVATIVE 23• on
Page 29 and 30: 1.6. THE SECOND DERIVATIVE 25ffxxf
Page 31 and 32: 1.7. LIMITS, CONTINUITY, AND DIFFER
Page 33 and 34: 1.7. LIMITS, CONTINUITY, AND DIFFER
Page 35 and 36: 1.8. THE TANGENT LINE APPROXIMATION
Page 37 and 38: Chapter 2Computing Derivatives2.1 E
Page 39 and 40: 2.1. ELEMENTARY DERIVATIVE RULES 35
Page 41 and 42: 2.2. THE SINE AND COSINE FUNCTIONS
Page 43 and 44: 2.2. THE SINE AND COSINE FUNCTIONS
Page 45 and 46: 2.3. THE PRODUCT AND QUOTIENT RULES
Page 47 and 48: 2.3. THE PRODUCT AND QUOTIENT RULES
Page 49: 2.4. DERIVATIVES OF OTHER TRIGONOME
Page 53 and 54: 2.5. THE CHAIN RULE 492.5 The chain
Page 55 and 56: 2.5. THE CHAIN RULE 51Activity 2.14
Page 57 and 58: 2.6. DERIVATIVES OF INVERSE FUNCTIO
Page 59 and 60: 2.6. DERIVATIVES OF INVERSE FUNCTIO
Page 61 and 62: 2.7. DERIVATIVES OF FUNCTIONS GIVEN
Page 63 and 64: 2.7. DERIVATIVES OF FUNCTIONS GIVEN
Page 65 and 66: 2.8. USING DERIVATIVES TO EVALUATE
Page 67 and 68: 2.8. USING DERIVATIVES TO EVALUATE
Page 69 and 70: Chapter 3Using Derivatives3.1 Using
Page 71 and 72: 3.1. USING DERIVATIVES TO IDENTIFY
Page 73 and 74: 3.1. USING DERIVATIVES TO IDENTIFY
Page 75 and 76: 3.2. USING DERIVATIVES TO DESCRIBE
Page 77 and 78: 3.2. USING DERIVATIVES TO DESCRIBE
Page 79 and 80: 3.3. GLOBAL OPTIMIZATION 75Activity
Page 81 and 82: 3.3. GLOBAL OPTIMIZATION 77Activity
Page 83 and 84: 3.4. APPLIED OPTIMIZATION 79Activit
Page 85 and 86: 3.4. APPLIED OPTIMIZATION 81Activit
Page 87 and 88: 3.5. RELATED RATES 833.5 Related Ra
Page 89 and 90: 3.5. RELATED RATES 85Activity 3.15.
Page 91 and 92: 3.5. RELATED RATES 87Activity 3.17.
Page 93 and 94: Chapter 4The Definite Integral4.1 D
Page 95 and 96: 4.1. DETERMINING DISTANCE TRAVELED
Page 97 and 98: 4.1. DETERMINING DISTANCE TRAVELED
Page 99 and 100: 4.2. RIEMANN SUMS 95⊲⊳
Page 101 and 102:
4.2. RIEMANN SUMS 97Activity 4.5.Su
Page 103 and 104:
4.3. THE DEFINITE INTEGRAL 994.3 Th
Page 105 and 106:
4.3. THE DEFINITE INTEGRAL 101Activ
Page 107 and 108:
4.3. THE DEFINITE INTEGRAL 103Activ
Page 109 and 110:
4.4. THE FUNDAMENTAL THEOREM OF CAL
Page 111:
4.4. THE FUNDAMENTAL THEOREM OF CAL
show all

Active Calculus - Gvsu - Grand Valley State University

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?