Answer
$$(f^2)' =2ff'$$
Work Step by Step
Rewrite $f^2$ as $ff$, so
\begin{align*}
(f^2)'&=(ff)'\\
&= ff'+f'f\\
&=2ff'
\end{align*}
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 3 - Differentiation - 3.3 Product and Quotient Rules - Exercises - Page 123: 55
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