Explanation Given function : f ( x ) = | x | if x < − 1 and 0 < h < 1 Calculation: Given function is f ( x ) = | x | . We know that | x | = { x , x ≥ 0 − x , x < 0 Since x < − 1 and 0 < h < 1 , so x + h < 0 . Therefore, we have f ( x + h ) = | x + h | = − ( x + h )

6th Edition

ISBN: 9781465208880

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

Publisher: Kendall Hunt Publishing

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Chapter 1.4, Problem 15PS

To determine

To evaluate:The difference quotient f(x+h)−f(x)h for the given function.

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Chapter 1.4, Problem 14PS

Chapter 1.4, Problem 16PS

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Chapter 1 Solutions

Calculus

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The difference quotient f ( x + h ) − f ( x ) h for the given function.

Solution Summary: The author evaluates the difference quotient of f(x+h) and x right for the given function.

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To evaluate:The difference quotient f(x+h)−f(x)h for the given function.

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Chapter 1 Solutions