Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 11 - Section 11.4 - Introduction to Derrivatives - Exercise Set - Page 1175: 50


a) $4$ b) $ y=4x-4$

Work Step by Step

a) Now, $ m_{\tan}=\lim_\limits{ h\to 0} \dfrac{f(x+h)-f(x)}{h}$ or, $=\lim_\limits{ h\to 0} \dfrac{f(2+h)-f(2)}{h}$ or, $=\lim_\limits{ h\to 0} \dfrac{(2+h)^2-(2)^2}{h}$ or, $=\lim_\limits{ h\to 0} (h+4)$ or, $ m_{tan}=4$ b) The equation of a line is: $ y=mx+c $ Now, $ y-4=4(x-2) \implies y=4x-4$
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