Let F(r) f(f(r)) and G(x) (F(x)) and suppose that f(4) = 14, f(14) = 3, f'(14) = 5, f'(4) = 4 Find F'(4) and G' (4). F'(4) = G' (4) =

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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Let \( F(x) = f(f(x)) \) and \( G(x) = (F(x))^2 \) and suppose that

\[ f(4) = 14, \quad f(14) = 3, \quad f'(14) = 5, \quad f'(4) = 4 \]

Find \( F'(4) \) and \( G'(4) \).

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

\( G'(4) = \) [input box]
Transcribed Image Text:Let \( F(x) = f(f(x)) \) and \( G(x) = (F(x))^2 \) and suppose that \[ f(4) = 14, \quad f(14) = 3, \quad f'(14) = 5, \quad f'(4) = 4 \] Find \( F'(4) \) and \( G'(4) \). \( F'(4) = \) [input box] \( G'(4) = \) [input box]
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