Concept explainers
(a)
To estimate the maximum and minimum values.
(a)
Explanation of Solution
Given:
The function is
Concept used:
The slope of the tangent to a curve
The tangent to be horizontal so the slope should be equal to 0
That is
Calculation:
The function is
Differentiating equation (1) with respect to
Draw the table
Test one point in each of the region formed by the graph
If the point satisfies the function then shade the entire region to denote that every point in the region satisfies the function
Draw the graph
(b)
To find: The exact value of
(b)
Explanation of Solution
Given:
The function is
Concept used:
The slope of the tangent to a curve
The tangent to be horizontal so the slope should be equal to 0
That is
Calculation:
The function is
Differentiating equation (1) with respect to
Again differentiating equation (2) with respect to
Therefore ,
The exact value is
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