Consider the following table of values of the functions f and g and their derivatives at various points. a. Find Dx(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 -7 2 1/8 2 2 -8 4 7/8 3 1 -6 3 5/8 4 3 -9 1 3/8
Consider the following table of values of the functions f and g and their derivatives at various points. a. Find Dx(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 -7 2 1/8 2 2 -8 4 7/8 3 1 -6 3 5/8 4 3 -9 1 3/8
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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![Consider the following table of values of the functions f and g and their derivatives at various
points.
a. Find Dx(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
-7
2
1/8
22
-8
4
7/8
31
-6
3
5/8
4
3
-9
1
3/8](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F46a4dff8-7f9e-4127-9d1e-ef0349b76ae2%2Ff7a6aab2-38fe-483c-8f49-200ebf64b87f%2Fm5t66di_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 Dx(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
-7
2
1/8
22
-8
4
7/8
31
-6
3
5/8
4
3
-9
1
3/8
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