Answer
0
Work Step by Step
$f(a+\Delta x)-f(a)\approx f'(a)\Delta x$
$\implies \sin (\frac{\pi}{2}+0.1)-\sin \frac{\pi}{2}=\frac{d}{dx} (\sin x) |_{x=\frac{\pi}{2}}\times0.1$
$=\cos \frac{\pi}{2}\times0.1= 0\times0.1=0$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
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: 8
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