Answer
$$ f(2.1)=1.3.$$
Work Step by Step
Since $$\Delta f=f(2.1)-f(2)=f'(2) \Delta x=3(0.1)=0.3,$$ then we have
$$ f(2.1)= \Delta f+f(2)=0.3+1=1.3.$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 4 - Applications of the Derivative - 4.1 Linear Approximation and Applications - Preliminary Questions - Page 172: 3
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