Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 2 - The Derivative - 2.3 Introduction To Techniques Of Differentiation - Exercises Set 2.3: 33

Answer

True.

Work Step by Step

Rules of derivatives allow the derivative of a sum to be written as a sum of derivatives. Therefore, the derivative of $f$ at $x=2$ $(f'(2))$ plus the eight times the derivative of $g$ at $x=2$ $(g'(2))$ is equal to $\frac{d}{dx}[f(x)-8g(x)]$ at $x=2$.
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