Answer
$10 \frac{1}{300}$
Work Step by Step
we can use the graph $y=x^{1/3}$
The derivative at $x=1000$ is,
$dy/dx = 1/3*x^{-2/3} = 1/3*1/100 = 1/300$
The $\triangle x$ is 1,
$1000^{1/3} + 1*1/300 = 10 \frac{1}{300}$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 2 - Derivatives - 2.9 Linear Approximations and Differentials - 2.9 Exercises - Page 193: 25
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