Calculus (3rd Edition)

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


$$b)\ 5f'(5x)$$

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: $$f(5x)′=5f′(5x)$$
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