Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 3: Derivatives - Section 3.2 - The Derivative as a Function - Exercises 3.2 - Page 115: 2

Answer

$-4,-2,2$

Work Step by Step

Consider $F(x)=(x-1)^2+1=x^2-2x+2$ and $F'(x)=2x-2$ Now, $F'(-1)=2\times(-1)-2=-4 ; \\F'(0)=2\times(0)-2=-2 ; \\F'(2)=2\times(2)-2=2$
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