Explanation Given: The function is ( 1.2 ) 5 3 . 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 ( 1.2 ) 5 3 . We can rewrite it as: ( 1.2 ) 5 3 = ( 1 + 0.2 ) 5 3 Let the function f ( x ) = ( x ) 5 3 . Differentiate the function with respect to x . f ′ ( x ) = 5 3 x 2 3 Find the linearization at a = 1 . L ( x ) = f ′ ( a ) ( x − a ) + f ( a ) Substitute 1 for a in the above formula

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ISBN: 9781319323394

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 4.1, Problem 60E

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Find the linearization. Also, find the percentage error.

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Chapter 4.1, Problem 59E

Chapter 4.1, Problem 61E

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Chapter 4 Solutions

CALCULUS W/SAPLING ACCESS >IC<

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.

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Chapter 4 Solutions