Given F(1) = 1, F'(1) = 1, F(2) = 3, F'(2) = 7 and G(2) = 1, G'(2) = 5, G(3) = 6, G'(3) = 2, find each of the following. (Enter dne for any derivative that cannot be computed from this information alone.) A. H(2) if H(x) = F(G(x)) [1] B. H' (2) if H(x) = F(G(x))|5 C. H(2) if H(x) = G(F(x)) 6 D. H' (2) if H(x) = G(F(x)) E. H' (2) if H(x) = F(x)/G(x) ||
Given F(1) = 1, F'(1) = 1, F(2) = 3, F'(2) = 7 and G(2) = 1, G'(2) = 5, G(3) = 6, G'(3) = 2, find each of the following. (Enter dne for any derivative that cannot be computed from this information alone.) A. H(2) if H(x) = F(G(x)) [1] B. H' (2) if H(x) = F(G(x))|5 C. H(2) if H(x) = G(F(x)) 6 D. H' (2) if H(x) = G(F(x)) E. H' (2) if H(x) = F(x)/G(x) ||
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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Solve the last two please. Thank you.
![Given \( F(1) = 1, \, F'(1) = 1, \, F(2) = 3, \, F'(2) = 7 \) and \( G(2) = 1, \, G'(2) = 5, \, G(3) = 6, \, G'(3) = 2 \), find each of the following. (Enter dne for any derivative that cannot be computed from this information alone.)
A. \( H(2) \) if \( H(x) = F(G(x)) \)
\[ \boxed{1} \]
B. \( H'(2) \) if \( H(x) = F(G(x)) \)
\[ \boxed{5} \]
C. \( H(2) \) if \( H(x) = G(F(x)) \)
\[ \boxed{6} \]
D. \( H'(2) \) if \( H(x) = G(F(x)) \)
\[ \boxed{} \]
E. \( H'(2) \) if \( H(x) = F(x)/G(x) \)
\[ \boxed{} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52775a5b-43e3-4009-8fc2-50e808eea18a%2F5cec3a8c-67c3-4c00-b0a3-0aa0785b3570%2Fg9pzgkg_processed.png&w=3840&q=75)
Transcribed Image Text:Given \( F(1) = 1, \, F'(1) = 1, \, F(2) = 3, \, F'(2) = 7 \) and \( G(2) = 1, \, G'(2) = 5, \, G(3) = 6, \, G'(3) = 2 \), find each of the following. (Enter dne for any derivative that cannot be computed from this information alone.)
A. \( H(2) \) if \( H(x) = F(G(x)) \)
\[ \boxed{1} \]
B. \( H'(2) \) if \( H(x) = F(G(x)) \)
\[ \boxed{5} \]
C. \( H(2) \) if \( H(x) = G(F(x)) \)
\[ \boxed{6} \]
D. \( H'(2) \) if \( H(x) = G(F(x)) \)
\[ \boxed{} \]
E. \( H'(2) \) if \( H(x) = F(x)/G(x) \)
\[ \boxed{} \]
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