(a)
To sketch: the graphs of the functions
(a)
Explanation of Solution
Given information:
The given function
Calculation:
The derivative of the function
The derivative of the function
Graph:
The graph of the functions
Interpretation:
From Figure 1, it is observed that the shape of the function f is parabola and the shape of the function
(b)
To sketch: the graphs of the functions
(b)
Explanation of Solution
Given information:
The given function
Calculation:
The derivative of the function
The derivative of the function g is
Graph:
The graph of the functions
Interpretation:
From Figure 2, it is observed that the value of the slope of the tangent at
(c)
To identify: the functions
(c)
Answer to Problem 77E
The derivative of
Explanation of Solution
Interpretation:
From Figure 1 and From Figure 2, it is observed that the shape of the derivative of the
Thus is, the derivative of
Use this pattern to conclude the function
The derivative of the function
Therefore, the derivative of
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