Chapter 3
Applications of Derivatives
Applications of Derivatives
Video # 1: Watch and Learn: Proof of the Derivative of ln x(9: 02)
Video # 2: Derivative of ln x: Part I(3:45)
Video # 3: Derivative of ln x: Part II(2:25)
Video # 4: Derivative of ln x: Part III(1:39)
Video # 5: Derivative of ln x: Part IV(3:21)
Video # 6: Derivative of ln x: Part V(4:44)
Video # 7: Derivative of ln x: Part VI(3:29)
Video # 8: Derivative of ln x: Part VII(2:59)
Video # 9: Derivative of ln x: Part IIX(4:40)
Video # 10: Derivative of ln x: Part IX(2:14)
Homework # 1 Page 322; # 51, 53, 55, 59
Video # 11: Derivative of natural log of absolute value(4:17)
Homework # 2 Page 323−324; # 69, 71, 73, 75, 105, 106
Video # 12: Derivatives with Inverses(9:35)
Geogebra: Derivatives of Inverses
Desmos: Inverse Functions and Derivatives
Homework # 3 Worksheet
Video # 13: Watch and Learn: Proof of the Derivative of e^x(4:40)
Video # 14: Derivative of e^x: Part I(3:49)
Video # 15: Derivative of e^x: Part II(2:52)
Video # 16: Derivative of e^x: Part III(4:22)
Video # 17: Derivative of e^x: Part IV(3:38)
Video # 18: Derivative of e^x: Part V(4:28)
Video # 19: Derivative of e^x: Part VI(4:20)
Homework # 4 Page 348; # 43, 47, 51, 55, 59
Video # 20: Watch and Learn: Proof of the Derivative of Exponential Functions with Base b(9:55)
Video # 21: Derivative of Exponential Functions with Base b Part I(2:38)
Video # 22: Derivative of Exponential Functions with Base b Part II(1:58)
Video # 23: Derivative of Exponential Functions with Base b Part III(2:44)
Video # 24: Derivative of Exponential Functions with Base b Part IV(3:07)
Video # 25: Derivative of Logarithm with Base b(8:37)
Video # 26: Derivative of Logarithm with Base b involving a Quotient(1:36)
Homework # 5 Page 357; # 25, 31, 45, 51, 55
Video # 27: Watch and Learn: Proof of the Derivative of Inverse Tangent(6:17)
Video # 28: Watch and Learn: Proof of the Derivative of Inverse Sin with Examples(8:55)
Video # 29: Derivative of Inverse Trigonometric Functions Part I(6:45)
Video # 30: Derivative of Inverse Trigonometric Functions Part II(3:07)
Homework # 6 Page 386−387; # 47, 49, 52, 55, 79−82
Homework # 7 Worksheet Quiz Review # 1
Quiz # 1
Video # 31: Definition of a Critical Number(6:24)
Video # 32: Finding Critical Numbers Part I(6:51)
Video # 33: Finding Critical Numbers Part II(6:19)
Video # 34: Finding Critical Numbers Part III(8:15)
Video # 35: Finding Critical Numbers Part IV(4:42)
Video # 36: Finding Critical Numbers Part V(2:35)
Video # 37: Finding Critical Numbers Part VI(5:58)
Homework # 8 Page 165−167; # 11, 13, 16, 63, 64
Video # 38: Calculating Absolute and Local Extrema(4:21)
Homework # 9 Page 165−167; # 23, 25, 35, 37, 49−54, 61
Video # 39: Rolle's Theorem Part I (5:55)
Video # 40: Rolle's Theorem Part II(7:54)
Video # 41: Rolle's Theorem Fails(3:31)
Homework # 10 Page 172−173; # 1, 2, 9, 11, 15, 19, 54, 55, 56
Video # 42: Mean Value Theorem Part I(9:52)
Video # 43: Mean Value Theorem Part II(7:19)
Video # 44: Mean Value Theorem Fails(4:55)
Homework # 11 Page 172−173; # 33, 34, 35, 38, 53
Video # 45: Increasing and Decreasing Functions Part I(10:05)
Video # 46: Increasing and Decreasing Functions Part II(10:47)
Video # 47: First Derivative Test Part I(6:18)
Video # 48: First Derivative Test Part II(9:18)
Homework # 12 Page 181−183; # 15, 23, 71, 72
Video # 49: First Derivative Test Part III(6:03)
Video # 50: First Derivative Test Part IV*(5:13)
*the last ordered pair is (2pi, pi) NOT (2pi, 0)
Homework # 13 Page 181−183; # 33, 49−54, 73, 74, 75
Video # 51: Watch and Learn: Second Derivative and Concavity Part I(9:37)
Video # 52: Watch and Learn: Second Derivative and Concavity Part II(13:43)
Video # 53: Second Derivative and Concavity Part III(10:02)
Video # 54: Second Derivative and Concavity Part IV(10:21)
Homework # 14 Page 189−191; # 11, 80
Homework # 15 Page 189−191; # 24, 83, 84
Video # 55: Second Derivative Test(8:41)
Homework # 16 Page 189; # 27, 45, 46, 47
Homework # 17 Quiz Review # 2
Quiz # 2 YOU CAN USE A CALCULATOR
Homework # 18 Page 208; # 23, 25
Homework # 19 Page 237; # 61
Homework # 20 Worksheet
Homework # 21 Page 322; # 79(Complete as done in class, inc, dec, min, max, ccup, ccdown, poi, etc)
Homework # 22 Page 348; # 69(Complete as done in class, inc, dec, min, max, ccup, ccdown, poi,
Homework # 23 Quiz Review # 3
Quiz # 3 YOU CAN USE A CALCULATOR
Quiz # 3
Homework # 24 Worksheet
Homework # 25 Worksheet
Homework # 26 Worksheet
Homework # 27 Worksheet
Homework # 28 Worksheet
Homework # 29 Quiz Review # 4 Worksheet
Quiz # 4 NO CALCULATOR
Homework # 30 Worksheet
Homework # 31 Worksheet
Homework # 32 Worksheet
Homework # 33 Worksheet Quiz # 5
Quiz # 5 YOU CAN USE A CALCULATOR
Video 56: Linear Approximation Part I(8:20)
Video 57: Linear Approximation Part II(4:24)
Homework # 34 Worksheet
Homework # 35 Worksheet
Homework # 36 Worksheet
Homework # 37 Worksheet
Homework # 38 Worksheet
Homework # 39 Worksheet
Homework # 40 Worksheet
Homework # 41 Worksheet Quiz Review # 6
Quiz # 6 YOU CAN USE A CALCULATOR