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Use the table below to find h'(1) for h () = f (g(x)). T 9(2) '(=) () 1/2 -2 -3 1. -1 -2 -2 -2 3. -3

Use the table below to find h'(1) for h () = f (g(x)). T 9(2) '(=) () 1/2 -2 -3 1. -1 -2 -2 -2 3. -3

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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**Objective:** Use the table below to find \( h'(1) \) for \( h(x) = f(g(x)) \). **Table:** | \( x \) | \( f(x) \) | \( g(x) \) | \( f'(x) \) | \( g'(x) \) | |---------|------------|------------|-------------|-------------| | 0 | -2 | 0 | 2 | 1/2 | | 1 | -3 | 2 | 0 | 1 | | 2 | 1 | 0 | 3 | 2 | | -1 | 0 | 5 | -2 | 1 | | -2 | 3 | -3 | -1 | 2 | **Solution Box:** \[ \text{Input your solution here} \]
Transcribed Image Text:**Objective:** Use the table below to find \( h'(1) \) for \( h(x) = f(g(x)) \). **Table:** | \( x \) | \( f(x) \) | \( g(x) \) | \( f'(x) \) | \( g'(x) \) | |---------|------------|------------|-------------|-------------| | 0 | -2 | 0 | 2 | 1/2 | | 1 | -3 | 2 | 0 | 1 | | 2 | 1 | 0 | 3 | 2 | | -1 | 0 | 5 | -2 | 1 | | -2 | 3 | -3 | -1 | 2 | **Solution Box:** \[ \text{Input your solution here} \]
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