Let f and g be the functions in the table below. g(x) 2 3 1 X 1 2 3 f(x) 3 1 2 (a) If F(x) = f(f(x)), find F (3). F '(3) = (b) If G(x) = g(g(x)), find G'(2). G'(2) = f'(x) 4 5 7 st g'(x) 6 7 9

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 59CR
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Let f and g be the functions in the table below.
f(x) g(x)
3
2
1
3
2
1
X
1
2
3
(a) If F(x) = f(f(x)), find F '(3).
F'(3) =
(b) If G(x) = g(g(x)), find G'(2).
G'(2) =
f'(x)
4
5
7
g'(x)
6
9
Transcribed Image Text:Let f and g be the functions in the table below. f(x) g(x) 3 2 1 3 2 1 X 1 2 3 (a) If F(x) = f(f(x)), find F '(3). F'(3) = (b) If G(x) = g(g(x)), find G'(2). G'(2) = f'(x) 4 5 7 g'(x) 6 9
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