Finite Math and Applied Calculus (6th Edition)

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: 55

Answer

-2

Work Step by Step

$f^{\prime}(x)=\ \ ($Sum rule$)\ \ =[1]^{\prime}-[2x]^{\prime}=$ $\ \ ($Constant rule, Constant times x $)\ \ $ =$0-2$ $=-2$ the slope of the tangent at x=$2$ $=f^{\prime}(2)=-2$
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