Consider the following table of values of the functions f and g and their derivatives at various points. a. Find D (f[g(x)]) at x = 2. b. Find D,(g[f(x)]) at x = 1. X f(x) f'(x) g(x) g'(x) 1 4 -6 2 7/8 2 1 -4 3 1/8 3 3 -2 1 5/8 4 2 -9 4 3/8 Dx (f[g(x)]) at x = 2 is (Type an integer or a simplified fraction.) Dx(g[f(x)]) at x = 1 is. (Type an integer or a simplified fraction.)
Consider the following table of values of the functions f and g and their derivatives at various points. a. Find D (f[g(x)]) at x = 2. b. Find D,(g[f(x)]) at x = 1. X f(x) f'(x) g(x) g'(x) 1 4 -6 2 7/8 2 1 -4 3 1/8 3 3 -2 1 5/8 4 2 -9 4 3/8 Dx (f[g(x)]) at x = 2 is (Type an integer or a simplified fraction.) Dx(g[f(x)]) at x = 1 is. (Type an integer or a simplified fraction.)
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...
Related questions
Question
![A
Consider the following table of values of the functions f and g and their derivatives
at various points.
a. Find D (f[g(x)]) at x = 2.
b. Find D,(g[f(x)]) at x = 1.
(a
fil
M
ets:
- A
-x fir
X
f(x)
f'(x)
ns-and-
culus
g(x)
g'(x)
1
4
-6
2
7/8
2
1
- 4
3
1/8
3
3
-2
1
5/8
4
2
-9
4
3/8
H
a
Dx(f[g(x)]) at x = 2 is
(Type an integer or a simplified fraction.)
Dx(g[f(x)]) at x = 1 is
(Type an integer or a simplified fraction.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F90eda9e3-028c-4bf5-879e-83d805099bfb%2F58ba5324-d4dc-4f64-a9d9-f79abe6cc6d4%2Fvvhffc8h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A
Consider the following table of values of the functions f and g and their derivatives
at various points.
a. Find D (f[g(x)]) at x = 2.
b. Find D,(g[f(x)]) at x = 1.
(a
fil
M
ets:
- A
-x fir
X
f(x)
f'(x)
ns-and-
culus
g(x)
g'(x)
1
4
-6
2
7/8
2
1
- 4
3
1/8
3
3
-2
1
5/8
4
2
-9
4
3/8
H
a
Dx(f[g(x)]) at x = 2 is
(Type an integer or a simplified fraction.)
Dx(g[f(x)]) at x = 1 is
(Type an integer or a simplified fraction.)
![Consider the following table of values of the functions f and g and their derivatives
at various points.
a. Find D (f[g(x)]) at x = 2.
b. Find D (g[f(x)]) at x = 1.
S
A
fir
and-
lus
X
f(x)
f'(x)
g(x)
g'(x)
1
4
-6
2
7/8
2
1
-4
3
1/8
Q
3
3
-2
1
5/8
4
2
-9
4
3/8
H
D
8
C
Dx(f[g(x)]) at x = 2 is.
(Type an integer or a simplified fraction.)
Dx(g[f(x)]) at x = 1 is
(Type an integer or a simplified fraction.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F90eda9e3-028c-4bf5-879e-83d805099bfb%2F58ba5324-d4dc-4f64-a9d9-f79abe6cc6d4%2Fbep448i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following table of values of the functions f and g and their derivatives
at various points.
a. Find D (f[g(x)]) at x = 2.
b. Find D (g[f(x)]) at x = 1.
S
A
fir
and-
lus
X
f(x)
f'(x)
g(x)
g'(x)
1
4
-6
2
7/8
2
1
-4
3
1/8
Q
3
3
-2
1
5/8
4
2
-9
4
3/8
H
D
8
C
Dx(f[g(x)]) at x = 2 is.
(Type an integer or a simplified fraction.)
Dx(g[f(x)]) at x = 1 is
(Type an integer or a simplified fraction.)
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
![Precalculus](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Calculus: Early Transcendental Functions](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning