Answer
$\frac{dy}{dt}=-12e^{3} \approx -214.026$
Work Step by Step
$y=xe^{3x}$
$\frac{dy}{dt}=(3e^{3x}+3xe^{3x})\frac{dx}{dt}$
$\frac{dy}{dt}=e^{3x}(3+3x)\frac{dx}{dt}$
Now substitute x=1; dx/dt=-2
$\frac{dy}{dt}=-12e^{3} \approx -214.026$
Calculus with Applications (10th Edition)
by Lial, Margaret L.; Greenwell, Raymond N.; Ritchey, Nathan P.
Published by
Pearson
ISBN 10:
0321749006
ISBN 13:
978-0-32174-900-0
Chapter 6 - Applications of the Derivative - Chapter Review - Review Exercises - Page 351: 37
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