Answer
$\frac{5}{2}$
Work Step by Step
According to the chain rule,
$(g(f(x)))'=g'(f(x))\times f'(x)$
Then,
$\frac{d}{dx}(g(f(x))|_{x=1}=g'(f(1))\times f'(1)$
$=g'(4)\times5=\frac{1}{2}\times5=\frac{5}{2}$
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 - 3.7 The Chain Rule - Exercises - Page 147: 88
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