Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 3 - Section 3.10 - Linear Approximations and Differentials. - 3.10 Exercises: 2

Answer

$f(x) = \frac{\sqrt 3}{2}\times(x- \pi/6) + 0.5$

Work Step by Step

To establish a linearization, you must first find $f(a)$ and $f'(a)$ and make it into the following form:$f(x)=f(a)+f'(a)\times(x-a) $ . a = $\pi/6$ in this particular case. $f'(a)$ = cos($\pi/6$) or $\sqrt 3 \div 2$ $f(a)$ = sin($\pi/6$) or 1/2
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