Answer
$f’(2) = 12 $
Work Step by Step
$f(x) = x^3 $
$f’(2) = \lim\limits_{h \to 0} \frac{f(2+h) - f(2) }{h} $
$f’(2) = \lim\limits_{h \to 0} \frac {8 + 12h+6h^2 + h^3 -8}{h} $
$f’(2) = \lim\limits_{h \to 0} (12+6h+12h^2) $
$f’(2) = 12 $
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: 6
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