Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - 2.4 Exercises - Page 136: 44

Answer

$y'=\pi\cos{\pi x}.$

Work Step by Step

$u=\pi x$; $\dfrac{du}{dx}=\pi$ $\dfrac{dy}{du}=\cos{u}$ $\dfrac{dy}{dx}=\dfrac{dy}{du}\times\dfrac{du}{dx}=\pi\cos{\pi x}.$
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