Concept explainers
To sketch: the graph of a function whose derivative is always negative.
Explanation of Solution
A function whose derivative is always positive is only possible if function has a degree of polynomial is 1 and the coefficient of variable is negative. So, here the function may be a linear function. But the graph of the function will vary, if there constant was vary.
Let the function will be
To graph of the function use graphing utility use TI-83 calculator:
For this open the TI-83 calculator and press the
Now press the window button and change the scale as choice.
Now press the graph button and it will show the graph as:
This is the graph of the derivative of function
So, this is the graph of a function whose derivative is always negative.
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