Answer
-5
Work Step by Step
$g^{\prime}(t)=[t^{-5}]^{\prime}=-5t^{-6}$
the slope of the tangent at $t=1$
$=g^{\prime}(1)=-5(1)^{-6}=-5$
Finite Math and Applied Calculus (6th Edition)
by Waner, Stefan; Costenoble, Steven
Published by
Brooks Cole
ISBN 10:
1133607705
ISBN 13:
978-1-13360-770-0
Chapter 11 - Section 11.1 - Derivatives of Powers, Sums, and Constant Multiples - Exercises - Page 795: 57
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