Answer
$4x+2h+3$
Work Step by Step
Given $f(x)=2x^2+3x+1$, we have
$f(x+h)=2(x+h)^2+3(x+h)+1=2x^2+4xh+2h^2+3x+3h+1$
$f(x+h)-f(x)=4xh+2h^2+3h$
$\frac{f(x+h)-f(x)}{h}=4x+2h+3$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 13 - A Preview of Calculus: The Limit, Derivative, and Integral of a Function - Section 13.5 The Area Problem; The Integral - 13.5 Assess Your Understanding - Page 924: 35
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