Calculus 10th Edition

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

Chapter 2 - Differentiation - 2.1 Exercises - Page 104: 63

Answer

$f(2)=4$ $f(2.1)=3.99$ $f'(2)\approx -0.1$

Work Step by Step

Evaluate $f(2)$ and $f(2.1)$. Then use the slope formula to estimate $f'(2)$: $f(2)=2(4-2)$ $f(2)=4$ $f(2.1)=2.1(4-2.1)$ $f(2.1)=3.99$ $f'(2)\approx \frac{4-3.99}{2-2.1}$ $f'(2)\approx -0.1$
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