Answer
$g'(t) = -\frac{3}{2}t^{-\frac{7}{4}}$
Work Step by Step
$g(t) = 2t^{-\frac{3}{4}}$
Power Rule
$g'(t) = 2(-\frac{3}{4})t^{-\frac{3}{4}-1}$
Simplify
$g'(t) = -\frac{3}{2}t^{-\frac{7}{4}}$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 2 - Derivatives - 2.3 Differentiation Formulas - 2.3 Exercises - Page 140: 9
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