Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 3 - The Derivative - 3.4 Definition of the Derivative - 3.4 Exercises - Page 176: 11

Answer

$f'(x) = 3$

Work Step by Step

$f(x+h)=3(x+h) - 7=3x + 3h -7$ $f(x+h) - f(x) =3x + 3h -7 -3x + 7=3h$ $\frac{f(x+h) - f(x)}{h}=3$ $f'(x) = 3$ The Derivative does exist but we can't find f'(-2), f'(0) and f'(3)
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