Calculus (3rd Edition)

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

Chapter 3 - Differentiation - 3.4 Rates of Change - Exercises - Page 131: 40

Answer

$f(4)-f(3)$ = $0.125$ $f(4)$ = $12.125$

Work Step by Step

$f'(x)$ = $\frac{f(x+h)-f(x)}{h}$ assume x = 3, h =1 $f'(3)$ = $\frac{f(3+1)-f(3)}{1}$ $x^{-3}$ = $f(4)-f(3)$ $f(4)-f(3)$ = $0.125$ ${f(4)-12}$ = $0.125$ $f(4)$ = $12.125$
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