Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 6 - Applications of the Derivative - 6.5 Related Rates - 6.5 Exercises - Page 341: 4



Work Step by Step

$4x^{3} - 6xy^{2}+3y^{2}= 228$ $12x^{2}\frac{dx}{dt} -12xy\frac{dy}{dt} -6y^{2}\frac{dx}{dt}+6y\frac{dy}{dt}=0$ $(6y-12xy)\frac{dy}{dt}+(12x^{2}-6y^{2})\frac{dx}{dt}=0$ Now substitute x = -3, y = 4, and dx/dt =3 to get $\frac{dy}{dt}=\frac{-3}{14}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.