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: 11

Answer

$f'(t)=-\dfrac{1}{2\sqrt{5-t}}.$

Work Step by Step

$u=(5-t)$; $\dfrac{du}{dt}=-1$ $f(u)=\sqrt{u};\dfrac{d}{du}f(u)=\dfrac{1}{2\sqrt{u}}$ $\dfrac{d}{dt}f(t)=\dfrac{d}{du}f(u)\times\dfrac{du}{dt}=-\dfrac{1}{2\sqrt{5-t}}.$
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