Explanation Given information: Given function is f ( x ) = x + 1 x − 1 Calculation: The difference quotient is given by f ( x + h ) − f ( x ) h ........ ( 1 ) So, from equation (1) f ( x + h ) − f ( x ) h = x + h + 1 x + h − 1 − x + 1 x − 1 h = ( x + h + 1 ) ( x − 1 ) − ( x + h − 1 ) ( x + 1 ) ( x − 1 ) ( x + h − 1 ) h =

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 1.4, Problem 18PS

To determine

To calculate: To evaluate the difference quotient for the given function f(x)=x+1x−1 .

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Chapter 1.4, Problem 17PS

Chapter 1.4, Problem 19PS

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Chapter 1 Solutions

Calculus

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To evaluate the difference quotient for the given function f ( x ) = x + 1 x − 1 .

Solution Summary: The author explains how to calculate the difference quotient for the given function f(x)=x-1.

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Chapter 1 Solutions