Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 1.1 Four Ways to Represent a Function - 1.1 Exercises - Page 21: 28



Work Step by Step

f(x)=$x^{3}$ Lets Evaluate: $\frac{f(a+h)-f(a)}{h}$ = $\frac{(a+h)^{3}-a^{3}}{y}$ $\frac{a^3+h^3+3a^2h+3ah^2-a^3}{h}$ = $\frac{h^3+3a^2h+3ah^2}{h}$ = $\frac{h(h^2+3a^2+3ah)}{h}$ = $h^2+3a^2+3ah$ Formulas Used: $(a+b)^3$ = $a^3+b^3+3a^2b+3ab^2$
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.