Answer
$\Delta y=0.78$
$dy=0.8$
Work Step by Step
$\Delta y=f(x+\Delta x)-f(x)=$
$ f(-2+0.1)-f(-2)=$$ [6-(2\times-1.9^{2})]-[6-(2\times-2^{2})]=$$-1.22-(-2)= 0.78$
$dy=( \frac{dy}{dx})\Delta x=-4x\times\Delta x=$$ -4\times-2\times0.1= 0.8$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 3 - Applications of Differentiation - 3.9 Exercises - Page 236: 8
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