Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 2 - Derivatives - 2.5 The Chain Rule - 2.5 Exercises: 13

Answer

$f'(θ)= -2θsin(θ^2)$

Work Step by Step

Original Expression: $f(θ) = cos(θ^2) $ $u=θ^2$ $f(u)= cos(u)$ Apply the chain rule: $f'(u)u'$ $f'(u)= -sin(u)2θ$ $f'(θ)= -2θsin(θ^2)$
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