Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 3 - Differentiation - Chapter Review Exercises - Page 162: 2

Answer

$h=0.4$

Work Step by Step

From the figure, the slope between $(0.7,f(0.7))$ and $(1.1, f(1.1))$ is given by $$\frac{f(1.1)-f(0.7)}{1.1-0.7} = \frac{f(0.7+0.4)-f(0.7)}{0.4}$$ By comparing with $$\frac{f(0.7+h)-f(0.7)}{h}$$ we get $h=0.4$
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