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: 6

Answer

$u=\frac{5}{2}x.$ $y=\sin{u}.$

Work Step by Step

Working from the inside out: Take $x$; multiply it by $\dfrac{5}{2}\leftarrow$ "inner function." Take $\frac{5}{2}x$; take the sine of it $\leftarrow$ "outer fucntion." $u=\frac{5}{2}x.$ $y=\sin{u}.$
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