Answer
$h^2+3hx+3x^2+3$
Work Step by Step
$f(x) =x^3+3x$
$\frac{f(h+x)-f(x)}{h}=\frac{((x+h)^3+3(x+3))-(x^3+3x)}{h}= \frac{h^3+3h^2x+3x^2h+3h}{h}=h^2+3hx+3x^2+3$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 2 - 2.2 - Functions - 2.2 Exercises - Page 186: 75
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