13 Oct 2021
Problem 4b
Page 94
Section 2.1: The Tangent and Velocity Problems
Chapter 2: Limits and Derivatives
Textbook ExpertVerified Tutor
13 Oct 2021
Given information
Given:- the equation and the point .
To find :- find the slope of the tangent line to the curve at .
Step-by-step explanation
Step 1.
As approches 0.5 from left side, the slope of the secant line at is approches -3.141588, and also as approches 0.5 from right side the slope of the secant line is approches -3.141588.
The limit value of the secant line is -3.141588.
It is clear that the limit value of the slope of the secant line is the slope of the tangent line.
So, the slope of the tangent line is -3.141588.