#### 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 $

Published by
W. H. Freeman

ISBN 10:
1464125260

ISBN 13:
978-1-46412-526-3

$f’(2) = 12 $

You can help us out by revising, improving and updating this answer.

Update this answerAfter you claim an answer you’ll have **24 hours** to send in a draft. An editor
will review the submission and either publish your submission or provide feedback.