Calculus (3rd Edition)

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

Chapter 3 - Differentiation - 3.1 Definition of the Derivative - Exercises - Page 103: 20

Answer

14

Work Step by Step

$k'(z)=\lim\limits_{h \to 0}\frac{k(z+h)-k(z)}{h}=\lim\limits_{h \to 0}\frac{[14(z+h)+12]-[14z+12]}{h}$ $=\lim\limits_{h \to 0}\frac{14z+14h+12-14z-12}{h}=14$
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