Answer
$(3x^2-\frac{3}{2\sqrt x})dx$
Work Step by Step
Given $y=x^3-3\sqrt x=x^3-3x^{1/2}$, we have $dy=3x^2dx-\frac{3}{2}x^{-1/2}dx=(3x^2-\frac{3}{2\sqrt x})dx$
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 3: Derivatives - Section 3.9 - Linearization and Differentials - Exercises 3.9 - Page 175: 17
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