To prove that
Answer to Problem 18E
Explanation of Solution
Given information:
Calculation:
Recall the displacement equation
Let’s starts by finding velocity of equation
Now let’s find what the velocity is for
Now the velocity of average can be found by using the formula
Use this to find the average velocity between
We use the same idea to find the average velocity between
(Where S is the displacement after T time has passed) as shown below
Let’s find a way to write
Differentiate both sides
Thus,
Chapter 6 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning