Concept explainers
Tofind:the interval of increase and decrease function, interval of concavity,
Answer to Problem 15RE
The function increases in the interval of
The function decreases in the interval of
Local maximum:
Local
Concave upward at
Concave downward at
IP lies in the interval of
Explanation of Solution
Given:
Concept used:
Increasing or decreasing function can be calculated by equating first derivative of the function to 0.
If
If
If the graph of
Calculation:
The function increases in the interval of
The function decreases in the interval of
Local maximum:
Local minima:
Concave upward at
Concave downward at
Inflection point lies in the interval of:
where
Put the value of x here to get the value of y coordinate:
IP lies in the interval of
Hence,
The function increases in the interval of
The function decreases in the interval of
Local maximum:
Local minima:
Concave upward at
Concave downward at
IP lies in the interval of
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