Answer
$7.64$
Work Step by Step
The expression for $y$ can be written as: $y=x^3$
Now, $\dfrac{dy}{dx}=3x^2$
$dy=3x^2 dx$
Next, we have: $dy=3\times (2)^2(-0.03)=-0.36$
So, the new $y$ value is equal to $-0.36+2^3=7.64$
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 2 - The Derivative - 2.9 Local Linear Approximation; Differentials - Exercises Set 2.9 - Page 181: 20
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
