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...
icon
Related questions
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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps with 7 images

Blurred answer
Knowledge Booster
Research Ethics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning