Answer
$$b)\ 5f'(5x)$$
Work Step by Step
By the chain rule, we know that
$$(f(g(x)))′=f′(g(x))g′(x)$$
In this problem, we let:
$$f(x)=f(x) and g(x)=5x$$
And by substituting f(x) and g(x) into the equation, we get:
$$f(5x)′=5f′(5x)$$
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 - Preliminary Questions - Page 145: 3
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