Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 4 - Applications of the Derivative - 4.1 Linear Approximation and Applications - Exercises - Page 172: 1


$\Delta f= 0.12$

Work Step by Step

$\Delta f= f(a+\Delta x)-f(a)=f(3.02)-f(3)$ $\implies a=3$ and $\Delta x= 0.02$ According to the Eq.2, $\Delta f= f'(a)\Delta x= f'(3)\times0.02$ $= 2\times3\times0.02= 0.12$
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