Answer
$\frac{dy}{dx}= \frac{f'(x)}{2\sqrt {f(x)}}$
Work Step by Step
$y=\sqrt {f(x)} = (f(x))^{0.5}$
Chain Rule
$\frac{dy}{dx} = 0.5(f(x))^{-0.5}(f'(x)) = \frac{f'(x)}{2\sqrt {f(x)}}$
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 3 - Derivatives - 3.7 The Chain Rule - 3.7 Exercises - Page 192: 75
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.
