Explanation Given: f ( x ) = x 4 + 3 x 2 Concept Used: The linearization of a function f ( x ) at a point a is defined as L ( x ) = f ( a ) + f ' ( a ) ( x − a ) Calculation: To find the linearization of function f ( x ) = x 4 + 3 x 2 First, calculate the derivative of the function as, f ′ ( x ) = 4 ( x ) 4 − 1 + 2 ( 3 x 2 − 1 ) = 4 x 3 + 6 x Now f ( a ) = f ( − 1 ) = ( − 1 ) 4 + 3 ( − 1 ) 2 = 1 + 3 = 4 And f ′ ( a )

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Chapter 3.8, Problem 1E

To determine

To find the linearization L(x) of the function

f(x)=x4+3x2 at a=−1

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Chapter 3.7, Problem 56E

Chapter 3.8, Problem 2E

Chapter 3 Solutions

Biocalculus

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