A table of values for f, g, f', and g' is given. f(x) g(x) 3 2 1 8 7 2 X 1 2 3 (a) If h(x) = f(g(x)), find h'(1). h'(1) = (b) If H(x) = g(f(x)), find H'(2). H'(2) = f'(x) 4 5 7 g'(x) 6 7 9

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)
3
2
8
2
X
1
2
3
1
7
(a) If h(x) = f(g(x)), find h'(1).
h'(1) =
(b) If H(x) = g(f(x)), find H'(2).
H'(2) =
f'(x)
4
5
7
g'(x)
6
7
9
Transcribed Image Text:A table of values for f, g, f', and g' is given. f(x) g(x) 3 2 8 2 X 1 2 3 1 7 (a) If h(x) = f(g(x)), find h'(1). h'(1) = (b) If H(x) = g(f(x)), find H'(2). H'(2) = f'(x) 4 5 7 g'(x) 6 7 9
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