Answer
$\frac{-4}{(2t-2)^2}$
Work Step by Step
$\left(\frac{f}{g}\right)'$ = $\frac{f'g-fg'}{g^2}$
$(3t-1)(2t-2)^{-1}$ = $\frac{3t-1}{2t-2}$
$(\frac{3t-1}{2t-2})$ = $\frac{(3)(2t-2)-(3t-1)(2)}{(2t-2)^2}$ = $\frac{-4}{(2t-2)^2}$
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 3 - Derivatives - 3.4 The Product and Quotient Rules - 3.4 Exercises - Page 160: 25
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