Explanation Given: The function is ( 17 ) 1 4 . Formula used: The formula of linearization L ( x ) , centered at x = a is: L ( x ) = f ′ ( a ) ( x − a ) + f ( a ) Calculation: The function is ( 17 ) 1 4 . We can rewrite it as: ( 17 ) 1 4 = ( 16 + 1 ) 1 4 Let the function f ( x ) = ( x ) 1 4 . Differentiate the function with respect to x . f ′ ( x ) = 1 4 x − 3 4 Find the linearization at a = 16 . L ( x ) = f ′ ( a ) ( x − a ) + f ( a ) Substitute 16 for a in the above formula

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ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 4.1, Problem 58E

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Find the linearization. Also, find the percentage error.

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Chapter 4.1, Problem 57E

Chapter 4.1, Problem 59E

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Chapter 4 Solutions

CALCULUS (CLOTH)

Ch. 4.1 - Prob. 1PQ Ch. 4.1 - Prob. 2PQ Ch. 4.1 - Prob. 3PQ Ch. 4.1 - Prob. 4PQ Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E

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Find the linearization. Also, find the percentage error.

Solution Summary: The author explains how to determine the linearization, and the percentage error. The function is (17)14.

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Chapter 4 Solutions