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f(x) glx) f'lx) g'ix) 3 4 2 5 7 3 7 2 7

f(x) glx) f'lx) g'ix) 3 4 2 5 7 3 7 2 7

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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find p'(1) given p(x)=f(x11) 

The table presents values for five different functions or derivatives evaluated at specific points \( x \). Below is a detailed explanation of the table's content: | \( x \) | \( f(x) \) | \( g(x) \) | \( f'(x) \) | \( g'(x) \) | |---------|-----------|-----------|-------------|-------------| | 1 | 3 | 2 | 4 | 6 | | 2 | 1 | 8 | 5 | 7 | | 3 | 7 | 2 | 7 | 9 | **Columns Explanation:** - **\( x \)**: Represents the input value or independent variable. - **\( f(x) \)**: Represents the value of function \( f \) at each \( x \). - **\( g(x) \)**: Represents the value of function \( g \) at each \( x \). - **\( f'(x) \)**: Represents the derivative of function \( f \) at each \( x \), indicating the rate of change of \( f \). - **\( g'(x) \)**: Represents the derivative of function \( g \) at each \( x \), indicating the rate of change of \( g \). This data is likely used in a mathematical context to analyze and compare the behaviors of the functions \( f(x) \) and \( g(x) \) and their rates of change at different points \( x \).
Transcribed Image Text:The table presents values for five different functions or derivatives evaluated at specific points \( x \). Below is a detailed explanation of the table's content: | \( x \) | \( f(x) \) | \( g(x) \) | \( f'(x) \) | \( g'(x) \) | |---------|-----------|-----------|-------------|-------------| | 1 | 3 | 2 | 4 | 6 | | 2 | 1 | 8 | 5 | 7 | | 3 | 7 | 2 | 7 | 9 | **Columns Explanation:** - **\( x \)**: Represents the input value or independent variable. - **\( f(x) \)**: Represents the value of function \( f \) at each \( x \). - **\( g(x) \)**: Represents the value of function \( g \) at each \( x \). - **\( f'(x) \)**: Represents the derivative of function \( f \) at each \( x \), indicating the rate of change of \( f \). - **\( g'(x) \)**: Represents the derivative of function \( g \) at each \( x \), indicating the rate of change of \( g \). This data is likely used in a mathematical context to analyze and compare the behaviors of the functions \( f(x) \) and \( g(x) \) and their rates of change at different points \( x \).
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