18 Oct 2021
Problem 50ce
Page 158
Section 2.7: The Derivative As a Function
Chapter 2: Limits and Derivatives
Textbook ExpertVerified Tutor
18 Oct 2021
Given information
Given:-
To show :- Show that the given equation is vertical tangent line at .
Step-by-step explanation
Step 1.
The work in part (a) with the one-sided limits shows that when , the slope of the tangent line is negative and the tangent line becomes steeper with negative slope as we get closer to . Similarly, when , the slope of the tangent line is positive and becomes the tangent line becomes steeper with positive slope the close we get to . Thus, there is a vertical tangent line at .