13 Oct 2021
Problem 3b
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 point 
and the curve 
.
To find :- To guess the value of the slope of the tangent line to the curve at .
Step-by-step explanation
Step 1.
From the part (a), it is clear that as 
approaches to 1 the slope of the secant line approaches to 
that is 
.
It is given that the point is , approaches to 1, so the slope of the secant line at the point is also .
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805