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 1174: 8


a) $7$ b) $7x-3$

Work Step by Step

a) Now, $ m_{\tan}=\lim_\limits{ h\to 0} \dfrac{f(1+h)-f(1)}{h}$ or, $=\lim_\limits{ h\to 0} \dfrac{[3(1+h)^2+(1+h)]-[3(1)^2+1]}{h}$ or, $=\lim_\limits{ h\to 0} \dfrac{3h^2+7h}{h}$ At $(1,4)$; $ m_{\tan}=7$ b) The equation of a line is: $ y=mx+c $ Now, $ y-4=7(x-1) \implies y=7x-3$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.