Answer
$83.16$
Work Step by Step
The expression for $y$ can be written as: $y=x^4$
Now, $\dfrac{dy}{dx}=4x^3$
$dy=4x^3 dx$
Next, we have: $dy=4\times (3)^3(0.02)=2.16$
So, the new $y$ value is equal to $2.16+3^4=83.16$
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: 19
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