Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - 2.6 Exercises - Page 153: 3


a: $dy/dt=-5/8$ b: $dx/dt=3/2$

Work Step by Step

$xy=4$: given $x(dy/dt)+y(dx/dt)$: chain rule $dy/dt=(-y/x)dx/dt$ $dx/dt=(-x/y)dy/dt$ a: $x=8$, $y=1/2$, $dx/dt=10$ $dy/dt = -((1/2)/8)\times(10)=-5/8$ b: $x=1$, $y-4$, $dy/dt=-6$ $dx/dt= -((1/4)\times(-6)=3/2$
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