Answer
True
Work Step by Step
$\dfrac{d}{dx}[(\dfrac{x+3}{x-2})^3+C] =(3)[ (\dfrac{x+3}{x-2})^2 (\dfrac{5}{(x-2)^2})]$
or, $=-15\dfrac{(x+3)^2}{(x-2)^4}$
Thus, the given statement is true.
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 4: Applications of Derivatives - Section 4.7 - Antiderivatives - Exercises 4.7 - Page 239: 67
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