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f(3) = X f'(2) = 2 3 f(x) -1 f'(x) 7 g(x) Given that f(x) and g(x) are differentiable and that h(x)=f(x) g(x) and k(x)=f(g(x)), use the values in the table to find ƒ (3) and ƒ'(2). 2 g'(x) h'(x) -3 2 k'(x) -15

f(3) = X f'(2) = 2 3 f(x) -1 f'(x) 7 g(x) Given that f(x) and g(x) are differentiable and that h(x)=f(x) g(x) and k(x)=f(g(x)), use the values in the table to find ƒ (3) and ƒ'(2). 2 g'(x) h'(x) -3 2 k'(x) -15

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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The image contains a table and a mathematical problem. ### Table: | x | f(x) | f'(x) | g(x) | g'(x) | h'(x) | k'(x) | |---|------|-------|------|-------|-------|-------| | 2 | -1 | | | | 2 | -15 | | 3 | | 7 | 2 | -3 | | | ### Problem: Given that \( f(x) \) and \( g(x) \) are differentiable and that \[ h(x) = f(x) \cdot g(x) \] and \[ k(x) = f(g(x)) \] use the values in the table to find \( f(3) \) and \( f'(2) \). - \( f(3) = \) [____] - \( f'(2) = \) [____]
Transcribed Image Text:The image contains a table and a mathematical problem. ### Table: | x | f(x) | f'(x) | g(x) | g'(x) | h'(x) | k'(x) | |---|------|-------|------|-------|-------|-------| | 2 | -1 | | | | 2 | -15 | | 3 | | 7 | 2 | -3 | | | ### Problem: Given that \( f(x) \) and \( g(x) \) are differentiable and that \[ h(x) = f(x) \cdot g(x) \] and \[ k(x) = f(g(x)) \] use the values in the table to find \( f(3) \) and \( f'(2) \). - \( f(3) = \) [____] - \( f'(2) = \) [____]
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