Concept explainers
To calculate: The coordinates of the inflection point of the curve,
Answer to Problem 29E
The infection point with six decimal place is
Explanation of Solution
Given information:
The curve is given as:
Formula used:
Newton’s Method:
We seek a solution of
For
Inflection point: Points can be find by
Calculation:
Consider the curve ,
Now,
Differentiate
Hence, we get the inflection point by
Therefore,
Now, let initial approximation be
For
The second approximation is
We establish the condition
For
Therefore, the inflection point of curve
Chapter 4 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