Answer
$$ \frac{dy}{dx}=\frac{x^2}{y^2}.$$
Work Step by Step
By differentiating the equation $ x^3-y^3=4$ with respect to $ x $, we get
$$3x^2-3y^2\frac{dy}{dx}=0\Longrightarrow \frac{dy}{dx}=\frac{x^2}{y^2}.$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 3 - Differentiation - Chapter Review Exercises - Page 164: 69
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