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In Exercises 55-62, find the derivative of y with respect to x, 1, or 0, as appropriate. 55. y = In (cos²0) 56. y = In (30e)

In Exercises 55-62, find the derivative of y with respect to x, 1, or 0, as appropriate. 55. y = In (cos²0) 56. y = In (30e)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Finding Derivatives In Exercises 55-62, find the derivative of y with respect to x, t, or 0, as appropriate. 55. y = In (cos²0) 57. y = In (3te") 59. y = In \1 +e 61. y = e(cost+In r) In Exercises 63-66, find dy/dx. 63. In y = e' sin x 65. x = yst 67. y = 2 69. y = 5Vs 71. y = x" 73. y = log₂50 75. y = log4x + log4.² 77. y = log₂r logar In 3 08, ((1+1)"") In Exercises 67-88, find the derivative of y with respect to the given independent variable. 79. y = log 81. y = 0sin (log,0) 56. y = In (30) 58. y In (2e'sin t) Vo \1 + Vē 62. yesin (In 12 + 1) 83. y = logset 85. y 3logat 87. y = log₂ (8¹2) 60. y = In 64. In xy = etty 66. tan y = et + ln x 68. y = 3 70. y = 2(²) 72. y = fl-e 74. y log,(1 + 0 In 3) log2 e - log, Vx 76. y = 78. y logar loggr = 80. y = logs 82. y = log 7x 3x + 2 sin cos 0 e 20 x²e² 84. y = log2 2√x + 86. y 3 logg (log₂t) 88. y = flog (e(sin In 3)) In 5
Transcribed Image Text:Finding Derivatives In Exercises 55-62, find the derivative of y with respect to x, t, or 0, as appropriate. 55. y = In (cos²0) 57. y = In (3te") 59. y = In \1 +e 61. y = e(cost+In r) In Exercises 63-66, find dy/dx. 63. In y = e' sin x 65. x = yst 67. y = 2 69. y = 5Vs 71. y = x" 73. y = log₂50 75. y = log4x + log4.² 77. y = log₂r logar In 3 08, ((1+1)"") In Exercises 67-88, find the derivative of y with respect to the given independent variable. 79. y = log 81. y = 0sin (log,0) 56. y = In (30) 58. y In (2e'sin t) Vo \1 + Vē 62. yesin (In 12 + 1) 83. y = logset 85. y 3logat 87. y = log₂ (8¹2) 60. y = In 64. In xy = etty 66. tan y = et + ln x 68. y = 3 70. y = 2(²) 72. y = fl-e 74. y log,(1 + 0 In 3) log2 e - log, Vx 76. y = 78. y logar loggr = 80. y = logs 82. y = log 7x 3x + 2 sin cos 0 e 20 x²e² 84. y = log2 2√x + 86. y 3 logg (log₂t) 88. y = flog (e(sin In 3)) In 5
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