Answer
$3s^{2} - 4s$
Work Step by Step
Use derivative formula; $f(x)= x^n \implies f'(x)= n x^{n-1}$
Consider $r(s) = s^{3} -2s^{2} +3$
Take first derivative , we have
$r'(s) = 3s^{(3-1)} - 2(2)s^{(2-1)} +0= 3s^{2} - 4s$
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 3.2 - The Derivative as a Function - Exercises 3.2 - Page 115: 8
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