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) 1 4 1 8 7 3 7 2 (a) If h(x) = f(g(x)), find h'(3). h'(3) = %3D (b) If H(x) %3D g(f(x)), find H'(1). H'(1) =|

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)
4
8
7
7
7
(a) If h(x) = f(g(x)), find h'(3).
h'(3) =
(b) If H(x) = g(f(x)), find H'(1).
H'(1) =
2.
2.
3.
2.
3.
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) 4 8 7 7 7 (a) If h(x) = f(g(x)), find h'(3). h'(3) = (b) If H(x) = g(f(x)), find H'(1). H'(1) = 2. 2. 3. 2. 3.
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