Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 3 - Derivatives - 3.7 The Chain Rule - 3.7 Exercises: 3

Answer

$g(x)$; $x$ The derivative of $f(g(x))$ equals $f'$ evaluated at $\boxed{g(x)}$ multiplied by $g'$ evaluated at $\boxed x$

Work Step by Step

According to Theorem 3.14: $\frac{d}{dx}[f(g(x))]=f'(g(x)) \times g'(x)$
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