Answer
True
Work Step by Step
Using implicit differentiation and solving for $\frac{dy}{dx}$, we find:
$x^2 + y^2 = 1$
$2x + 2y \frac{dy}{dx}$
$\frac{dy}{dx} = -\frac{x}{y}$
which matches the expression given in the problem. Therefore, true.
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 2 - The Derivative - 2.7 Implicit Differentiation - Exercises Set 2.7 - Page 166: 24
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