Answer
$f’(0) = 9 $
Work Step by Step
$f(x) = x^2 + 9x $
$f’(0) = \lim\limits_{h \to 0} \frac{f(0+h) - f(0) }{h} $
$f’(0) = \lim\limits_{h \to 0} \frac{9h+h^2}{h} $
$f’(0) = \lim\limits_{h \to 0} 9+h $
$f’(0) = 9 $
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 3 - Differentiation - 3.1 Definition of the Derivative - Exercises - Page 102: 3
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