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Consider the function Suppose that g(6) = ƒ' (6) = f(x) = (1 + sin(x)) (*) -9 and g'(6) - 4.

Consider the function Suppose that g(6) = ƒ' (6) = f(x) = (1 + sin(x)) (*) -9 and g'(6) - 4.

Calculus: Early Transcendentals
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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Question
Consider the function \[ f(x) = (1 + \sin(\pi x))^{g(x)} \] Suppose that \( g(6) = -9 \) and \( g'(6) = -4 \). \[ f'(6) = \boxed{} \]
Transcribed Image Text:Consider the function \[ f(x) = (1 + \sin(\pi x))^{g(x)} \] Suppose that \( g(6) = -9 \) and \( g'(6) = -4 \). \[ f'(6) = \boxed{} \]
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