Explanation Given: The function is f ( x ) = 3 x − 4 , where a = 0 and a = 2 . Formula used: The formula of linearization L ( x ) , centered at x = 1 is: L ( x ) = f ′ ( a ) ( x − a ) + f ( a ) Calculation: The function is f ( x ) = 3 x − 4 , where a = 0 and a = 2 . Differentiate the function with respect to x . f ′ ( x ) = 3 x − 4 = 3 Find the linearization at a = 0 . L ( x ) = f ′ ( a ) ( x − a ) + f ( a ) Substitute 0 for a in the above formula

4th Edition

ISBN: 9781319379421

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 4.1, Problem 54E

To determine

Find the linearization of f(x)=3x−4 at a=0 and a=2. Also, prove more generally that a linear function coincides with its linearization at x=a for all a.

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Chapter 4.1, Problem 53E

Chapter 4.1, Problem 55E

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Chapter 4 Solutions

CALCULUS 4E (HC) W/ ACHIEVE ACCESS

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

Ch. 4.1 - Prob. 7E Ch. 4.1 - Prob. 8E Ch. 4.1 - Prob. 9E Ch. 4.1 - Prob. 10E Ch. 4.1 - Prob. 11E Ch. 4.1 - Prob. 12E Ch. 4.1 - Prob. 13E Ch. 4.1 - Prob. 14E Ch. 4.1 - Prob. 15E Ch. 4.1 - Prob. 16E Ch. 4.1 - Prob. 17E Ch. 4.1 - Prob. 18E Ch. 4.1 - Prob. 19E Ch. 4.1 - Prob. 20E Ch. 4.1 - Prob. 21E Ch. 4.1 - Prob. 22E Ch. 4.1 - Prob. 23E Ch. 4.1 - Prob. 24E Ch. 4.1 - Prob. 25E Ch. 4.1 - Prob. 26E Ch. 4.1 - Prob. 27E Ch. 4.1 - Prob. 28E Ch. 4.1 - Prob. 29E Ch. 4.1 - Prob. 30E Ch. 4.1 - Prob. 31E Ch. 4.1 - Prob. 32E Ch. 4.1 - Prob. 33E Ch. 4.1 - Prob. 34E Ch. 4.1 - Prob. 35E Ch. 4.1 - Prob. 36E Ch. 4.1 - Prob. 37E Ch. 4.1 - Prob. 38E Ch. 4.1 - Prob. 39E Ch. 4.1 - Prob. 40E Ch. 4.1 - Prob. 41E Ch. 4.1 - Prob. 42E Ch. 4.1 - Prob. 43E Ch. 4.1 - Prob. 44E Ch. 4.1 - Prob. 45E Ch. 4.1 - Prob. 46E Ch. 4.1 - Prob. 47E Ch. 4.1 - Prob. 48E Ch. 4.1 - Prob. 49E Ch. 4.1 - Prob. 50E Ch. 4.1 - Prob. 51E Ch. 4.1 - Prob. 52E Ch. 4.1 - Prob. 53E Ch. 4.1 - Prob. 54E Ch. 4.1 - Prob. 55E Ch. 4.1 - Prob. 56E Ch. 4.1 - 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Find the linearization of f ( x ) = 3 x − 4 at a = 0 and a = 2 . Also, prove more generally that a linear function coincides with its linearization at x = a for all a.

Solution Summary: The author explains how to find the linearization of f(x)=3x-4 at a=0.

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Find the linearization of f(x)=3x−4 at a=0 and a=2. Also, prove more generally that a linear function coincides with its linearization at x=a for all a.

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Chapter 4 Solutions