To find : extreme values of the function and where they occur.
Answer to Problem 28E
The extreme value of the function is
The extreme value of the function is
The extreme value of the function is
Explanation of Solution
Given information :
Formula needed :
For critical points,
The domain of the function is
Differentiate
Take
The critical point is
Now plug point
Now plug point
Now plug point
Examine whether the function is either maxima or minima. Check the surrounding values of critical point.
As
Thus, minimum occur at
As
Thus, maximum occur at
As
Thus, minimum occur at
Chapter 4 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
- 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