a.
To show: algebraically that
a.
Explanation of Solution
Given information:
Difference quotient of f at a is
Concept used:
Replace
Calculation:
Let
Hence it is proved that
b.
To explain: two forms of the difference quotient of f at a .
b.
Explanation of Solution
Given information:
Calculation:
On taking limit h tending to 0,
Changing the notation in the function, for an interval
Conclusion:
On an interval
Chapter 1 Solutions
AP CALCULUS TEST PREP-WORKBOOK
- 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