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: 2

Answer

To calculate $h'(1)$, we need to know $f'(3)$

Work Step by Step

According to Theorem 3.14: $\frac{d}{dx}[f(g(1))] = h'(1)= f'(g(1)) \times g'(1)$ We know that $g(1) = 3$ and $g'(1) = 5$, so when we plug in these values into the equation, we get: $h'(1) = f'(3) \times 5$ Thus, we need to know the value of $f'(3)$ to solve for $h'(1)$
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