(a)
To find: The slope
(a)
Answer to Problem 6PS
The slope
Explanation of Solution
Given:
Calculation:
So, the slope of tangent at point
The slope of line joining points
And hence the slope of the tangent at
(b)
To find: The slope
(b)
Answer to Problem 6PS
The slope
Explanation of Solution
Given:
Calculation:
The slope of the line joining the points (2,4) and (1,1) is
And hence the slope of the tangent at (2,4) of given curve is greater than the slope of the line joining points (2,4) and (1,1).
(c)
To find: The slope
(c)
Answer to Problem 6PS
The slope
Explanation of Solution
Given:
Calculation:
The slope of the line joining points (4.41,2.1)
And hence the slope of the tangent at (2,4)of the given curve is smaller than the slope of the line joining points (4.41,2.1) and (2,4).
(d)
To find: The slope of
(d)
Answer to Problem 6PS
Explanation of Solution
Given:
Calculation:
(e)
To find:The slope from part (d) for
(e)
Answer to Problem 6PS
Explanation of Solution
Given:
Calculation:
Since,
So, when
(f)
To Conclude:the slope
(f)
Explanation of Solution
Given:
So, the slope of tangent at point
Since the slope of tangent line of the given curve at point
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
- 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