Answer
False.
Work Step by Step
The derivative of $\sqrt{y}$ is $\frac{1}{2\sqrt{y}}$ times the derivative of $y$, or $\frac{f'(x)}{2\sqrt{y}}$, which isn't $\sqrt{f'(x)}$.
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 2 - The Derivative - 2.6 The Chain Rule - Exercises Set 2.6 - Page 159: 61
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