Calculus (3rd Edition)

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: 7

Answer

$f’(1) = 5 $

Work Step by Step

$f(x) = x^3 +2x $ $ f’(1) = \lim\limits_{h \to 0}{\frac{f(1+h) - f(1)}{h}} $ $ f’(1) = \lim\limits_{h \to 0} \frac{(1+h)^3 + 2(1+h) -(1^3+2)}{h} $ $f’(1) = \lim\limits_{h \to 0} \frac{h^3+3h^2+5h}{h} $ $f’(1) = \lim\limits_{h \to 0} h^2 +3h +5 $ $f’(1) = 5 $
Update this answer!

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

Update this answer

After 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.