71. Let r(x) (b) If H(x) = g(f(x)), fnd H'(1). g'(2) = 64. Let f and g be the functions in Exercise 63. (a) If F(x) = f(f), find F'(2). (b) If G(x) = g(g(x)), find G'(3). 72. If g is a f" in ter 73. If F(x) 65. If f and g are the functions whose graphs are shown, let u(x) = f(g(x)), v(x) 3D g(f(x)), and w(x) = g(g(x)). Find each derivative, if it exists. If it does not exist, explain why. (a) u'(1) find F'( 74. If F(x) (b) v'(1) (c) w'(1) f'(1) = 75. Show th the diffe f 76. For wh: differer 77. Find th 78. Find th 0. 1 Copyright 2016 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, son Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right t
71. Let r(x) (b) If H(x) = g(f(x)), fnd H'(1). g'(2) = 64. Let f and g be the functions in Exercise 63. (a) If F(x) = f(f), find F'(2). (b) If G(x) = g(g(x)), find G'(3). 72. If g is a f" in ter 73. If F(x) 65. If f and g are the functions whose graphs are shown, let u(x) = f(g(x)), v(x) 3D g(f(x)), and w(x) = g(g(x)). Find each derivative, if it exists. If it does not exist, explain why. (a) u'(1) find F'( 74. If F(x) (b) v'(1) (c) w'(1) f'(1) = 75. Show th the diffe f 76. For wh: differer 77. Find th 78. Find th 0. 1 Copyright 2016 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, son Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right t
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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Question
Question number 65
![71. Let r(x)
(b) If H(x) = g(f(x)), fnd H'(1).
g'(2) =
64. Let f and g be the functions in Exercise 63.
(a) If F(x) = f(f), find F'(2).
(b) If G(x) = g(g(x)), find G'(3).
72. If g is a
f" in ter
73. If F(x)
65. If f and g are the functions whose graphs are shown, let
u(x) = f(g(x)), v(x) 3D g(f(x)), and w(x) = g(g(x)). Find
each derivative, if it exists. If it does not exist, explain why.
(a) u'(1)
find F'(
74. If F(x)
(b) v'(1)
(c) w'(1)
f'(1) =
75. Show th
the diffe
f
76. For wh:
differer
77. Find th
78. Find th
0.
1
Copyright 2016 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, son
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc661e0d-ed51-4ca8-989d-5f44ecd3ae36%2F1a7a4865-2b96-4482-8f5a-ed07551eb36f%2F8etlw59.jpeg&w=3840&q=75)
Transcribed Image Text:71. Let r(x)
(b) If H(x) = g(f(x)), fnd H'(1).
g'(2) =
64. Let f and g be the functions in Exercise 63.
(a) If F(x) = f(f), find F'(2).
(b) If G(x) = g(g(x)), find G'(3).
72. If g is a
f" in ter
73. If F(x)
65. If f and g are the functions whose graphs are shown, let
u(x) = f(g(x)), v(x) 3D g(f(x)), and w(x) = g(g(x)). Find
each derivative, if it exists. If it does not exist, explain why.
(a) u'(1)
find F'(
74. If F(x)
(b) v'(1)
(c) w'(1)
f'(1) =
75. Show th
the diffe
f
76. For wh:
differer
77. Find th
78. Find th
0.
1
Copyright 2016 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, son
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right t
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