Answer
$\frac{dx}{dy} = \frac{1}{cos(x)}$
Work Step by Step
We apply implicit differentiation and solve for $\frac{dx}{dy}$:
$y = sin(x)$
$1 = cos(x) * \frac{dx}{dy}$
$\frac{dx}{dy} = \frac{1}{cos(x)}$
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: 34
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