Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 3 - Differentiation - 3.7 The Chain Rule - Exercises - Page 146: 10



Work Step by Step

According to the chain rule, $\frac{df}{dx}=\frac{df}{du}\times\frac{du}{dx}=2u\times u'$ Given that $ u(2)=-5$ and $ u'(2)=-5$. Therefore, $\frac{df}{dx}|_{x=2}= 2(-5)\times-5= 50$
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