University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 3 - Section 3.6 - The Chain Rule - Exercises: 10

Answer

$\frac{dy}{dx} = -27(4-3x)^{8}$

Work Step by Step

$y = u^{9}$ where, $u = (4-3x)$ Now, $\frac{dy}{du} = 9u^{8}$ $\frac{du}{dx} = -3$ So, $\frac{dy}{dx} = \frac{dy}{du} \times \frac{du}{dx}$ $\frac{dy}{dx} = -27u^{8}$ $\frac{dy}{dx} = -27(4-3x)^{8}$
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