13 Oct 2021
Problem 8b
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 function 
.
To find:- Estimate the instantaneous velocity of the particle when 
.
Step-by-step explanation
Step 1.
From the obtained values of the average velocity over different time periods, one can observe that over the interval 
the average velocity approaches 
.
So, the instantaneous velocity will be the limit value of the avergae velocity.
Then, the instantaneous velocity of the particle when is 
.
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805