Explanation Given: e − 0.015 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 estimate the value of e − 0.015 Use linearization; let f ( x ) = e x , and a = 0 Now, calculate the derivative of the function as, f ′ ( x ) = d d x e x = e x Thus, f ( a ) = f ( 0 ) = e<

15th Edition

ISBN: 9781305177291

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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Question

Chapter 3.8, Problem 12E

To determine

To estimate the value of

e−0.015

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Chapter 3.8, Problem 11E

Chapter 3.8, Problem 13E

Chapter 3 Solutions

Biocalculus: Calculus For Life Sciences

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

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To estimate the value of e − 0.015

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To estimate the value of e−0.015

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Chapter 3 Solutions

To estimate the value of

e−0.015