Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - Review Exercises - Page 157: 21

Answer

The slope of the tangent at the point $(3, 1)$ is $-1.$

Work Step by Step

$f(x)=27x^{-3}\rightarrow f'(x)=-\dfrac{81}{x^4}$ $f'(3)=-\dfrac{81}{3^4}=-1$
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