a.
ToEvaluate:The slope of the graph of
a.
Answer to Problem 49E
The slope of the graph of
Explanation of Solution
Given:
The function
Concept Used:
The slope
Calculation:
Given the function
The slope
At
Therefore, slope of the graph of
Conclusion:
Theslope of the graph of
b.
ToEvaluate: The equation of the tangent line to the graph of
b.
Answer to Problem 49E
The equation of the tangent line at the point
Explanation of Solution
Given:
The function
And from part a.) slope of the graph of
Concept Used:
The equation of the tangent line to the graph of a function
Calculation:
From part a.) the slope of the graph of
The equation of the tangent line at the point
Therefore, the equation of the tangent line at the point
Conclusion:
The equation of the tangent line at the point
c.
ToGraph:The function
c.
Answer to Problem 49E
The graph of the function
Explanation of Solution
Given:
The function
And from part b.) the equation of tangent line is
Concept Used:
The graph of a function is the smooth curve, which is the collection of all the points that satisfy the particular function.
Calculation:
For the function
And the tangent line
Plotting both of them on the same graph using a graphing utility, we have
Conclusion:
The graph of the function
Chapter 12 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