(a)
To find : The value of
(a)
Explanation of Solution
Given: The given function is
Consider the equation.
Differentiate the above equation.
Therefore, the value of
(b)
To find : The equation of tangent to the curve at the point
(b)
Explanation of Solution
Given: The given function is
Consider the equation.
Differentiate the above equation.
Substitute
The equation of tangent at
Substitute
The equation of tangent at
Therefore, the equation of tangent is listed above.
(c)
To illustrate : The equation of tangent to the curve at the point
(c)
Explanation of Solution
Given: The given function is
The graph of equation of tangent passing through
Figure (1)
Therefore, the equation of tangent passing through
(d)
To check : whether the graph of
(d)
Explanation of Solution
Given: The given function is
The graph of
Figure (1)
Therefore, the original function is increasing the derivative function also remains positive. Hence, the result are reasonable.
Chapter 3 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