Answer
$1.5x^{.5}$
Work Step by Step
Chain Rule: $f(x)=x^{n}$
$f'(x)=(n)x^{n-1}$
And so,
$f(x)=x^{1.5}$
$f'(x)=(1.5)x^{1.5-1}=(1.5)x^{.5}=1.5x^{.5}$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 2 - Derivatives - 2.2 The Derivative as a Function - 2.2 Exercises - Page 127: 28
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