The differentiable functions f and g are defined for all real numbers x. Values of f, f', g, and g' for various values of x are given in the table. f(x) f'(x) g(x) g'(x) 3 4 2 2 8. 7 3 7 7 2 9 (a) If h(x) = f(g(x)), find h'(3). h'(3) =| (b) If H(x) = g(f(x)), find H'(2). H'(2) =
The differentiable functions f and g are defined for all real numbers x. Values of f, f', g, and g' for various values of x are given in the table. f(x) f'(x) g(x) g'(x) 3 4 2 2 8. 7 3 7 7 2 9 (a) If h(x) = f(g(x)), find h'(3). h'(3) =| (b) If H(x) = g(f(x)), find H'(2). H'(2) =
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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![The differentiable functions f and g are defined for all real numbers x. Values of f, f', g, and g' for various values of x are given in the table.
f(x) f'(x)
g(x)
g'(x)
3
4
2
2
8.
7
3
7
7
2
9
(a) If h(x) = f(g(x)), find h'(3).
h'(3) =|
(b) If H(x) = g(f(x)), find H'(2).
H'(2) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3fc55a9a-b37f-4ec5-b0ac-e8f1fa01899a%2Fc3eddc28-e681-490b-83b4-a4b26c74a71e%2Fy1svir_processed.png&w=3840&q=75)
Transcribed Image Text:The differentiable functions f and g are defined for all real numbers x. Values of f, f', g, and g' for various values of x are given in the table.
f(x) f'(x)
g(x)
g'(x)
3
4
2
2
8.
7
3
7
7
2
9
(a) If h(x) = f(g(x)), find h'(3).
h'(3) =|
(b) If H(x) = g(f(x)), find H'(2).
H'(2) =
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