A table of values for f, g, f', and g' is given. f(x) g(x) f '(x) g'(x) 1 3 2. 4 1 8 7 3 7 7 9 (a) If h(x) = f(g(x)), find h'(3). h'(3) = (b) If H(x) = 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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A table of values for f, g, f', and g' is given.
f(x)
g(x)
f '(x)
g'(x)
1
3
2.
4
1
8
7
3
7
7
9
(a) If h(x) = f(g(x)), find h'(3).
h'(3) =
(b) If H(x) = g(f(x)), find H'(1).
H'(1)
Transcribed Image Text:A table of values for f, g, f', and g' is given. f(x) g(x) f '(x) g'(x) 1 3 2. 4 1 8 7 3 7 7 9 (a) If h(x) = f(g(x)), find h'(3). h'(3) = (b) If H(x) = g(f(x)), find H'(1). H'(1)
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