Given F(2) = 1, F'(2) = 8, F(4) = 3, F' (4) = 7 and G(4) = 2, Gʻ (4) = 6, G(3) = 4, G'(3) = 10, find the following. %3D

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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Evaluating expressions it has 2 parts in the same question

(c) \( H(4) \) if \( H(x) = G(F(x)) \)

\[ H(4) = \] [input box]

eTextbook and Media

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(d) \( H'(4) \) if \( H(x) = G(F(x)) \)

\[ H'(4) = \] [input box]

eTextbook and Media

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(e) \( H'(4) \) if \( H(x) = \frac{F(x)}{G(x)} \)

\[ H'(4) = \] [input box]

eTextbook and Media
Transcribed Image Text:(c) \( H(4) \) if \( H(x) = G(F(x)) \) \[ H(4) = \] [input box] eTextbook and Media --- (d) \( H'(4) \) if \( H(x) = G(F(x)) \) \[ H'(4) = \] [input box] eTextbook and Media --- (e) \( H'(4) \) if \( H(x) = \frac{F(x)}{G(x)} \) \[ H'(4) = \] [input box] eTextbook and Media
Given \( F(2) = 1 \), \( F'(2) = 8 \), \( F(4) = 3 \), \( F'(4) = 7 \) and \( G(4) = 2 \), \( G'(4) = 6 \), \( G(3) = 4 \), \( G'(3) = 10 \), find the following:

(a) \( H(4) \) if \( H(x) = F(G(x)) \)

\[ H(4) = \, \]

eTextbook and Media

(b) \( H'(4) \) if \( H(x) = F(G(x)) \)

\[ H'(4) = \, \]
Transcribed Image Text:Given \( F(2) = 1 \), \( F'(2) = 8 \), \( F(4) = 3 \), \( F'(4) = 7 \) and \( G(4) = 2 \), \( G'(4) = 6 \), \( G(3) = 4 \), \( G'(3) = 10 \), find the following: (a) \( H(4) \) if \( H(x) = F(G(x)) \) \[ H(4) = \, \] eTextbook and Media (b) \( H'(4) \) if \( H(x) = F(G(x)) \) \[ H'(4) = \, \]
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