Answer
$f'(t)=-\dfrac{1}{2\sqrt{5-t}}.$
Work Step by Step
$u=(5-t)$; $\dfrac{du}{dt}=-1$
$f(u)=\sqrt{u};\dfrac{d}{du}f(u)=\dfrac{1}{2\sqrt{u}}$
$\dfrac{d}{dt}f(t)=\dfrac{d}{du}f(u)\times\dfrac{du}{dt}=-\dfrac{1}{2\sqrt{5-t}}.$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
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: 11
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
