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Number derivatives: A treasure trove of student research projects. Mike Krebs, Cal State LA. Based on joint work with:. Caleb Emmons, Pacific University. Anthony Shaheen , Cal State LA. (Product Rule). Number derivative : . Number derivative : . Questions:. Number derivative : . - PowerPoint PPT Presentation
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Number derivatives:A treasure trove ofstudent research projects
Mike Krebs, Cal State LA
Based on joint work with:
Caleb Emmons, Pacific University Anthony Shaheen, Cal State LA
(Product Rule)
Number derivative:
Number derivative:
Questions:
Number derivative:
Questions:
(A) Do they exist?
Number derivative:
Questions:
(A) Do they exist?
(2) What neat-o properties do they have?
Number derivative:
Questions:
(A) Do they exist?
(2) What neat-o properties do they have?
(iii) Can we classify all of them?
Number derivative:
(A) Do they exist?
Number derivative:
(A) Do they exist?
Number derivative:
(A) Do they exist?
BAWWWW
Number derivative:
(A) Do they exist?
BAWWWW-RING
Number derivative:
(A’) Do any non-trivial number derivatives exist?
Number derivative:
(A’) Do any non-trivial number derivatives exist?
Stay tuned . . .
Number derivative:
Number derivative:
(2) What neat-o properties do they have?
Number derivative:
(2) What neat-o properties do they have?
Number derivative:
(2) What neat-o properties do they have?
Number derivative:
(2) What neat-o properties do they have?
Number derivative:
(2) What neat-o properties do they have?
Number derivative:
(2) What neat-o properties do they have?
Number derivative:
(2) What neat-o properties do they have?
Number derivative:
(2) What neat-o properties do they have?
Number derivative:
(2) What neat-o properties do they have?
Number derivative:
(2) What neat-o properties do they have?
Number derivative:
(2) What neat-o properties do they have?
(Power Rule)
Number derivative:
(2) What neat-o properties do they have?
(Power Rule)
Number derivative:
(2) What neat-o properties do they have?
Number derivative:
(2) What neat-o properties do they have?
Number derivative:
(2) What neat-o properties do they have?
(by Fermat’s theorem )
Number derivative:
(2) What neat-o properties do they have?
(by Fermat’s theorem )
(by the Power Rule)
Number derivative:
(2) What neat-o properties do they have?
(by Fermat’s theorem )
(by the Power Rule)
Number derivative:
(A’) Do any non-trivial number derivatives exist?
Number derivative:
(A’) Do any non-trivial number derivatives exist?
Number derivative:
(A’) Do any non-trivial number derivatives exist?
Number derivative:
(A’) Do any non-trivial number derivatives exist?
Number derivative:
Yes! For example,here’s one.
(A’) Do any non-trivial number derivatives exist?
Number derivative:
Yes! For example,here’s one.
(A’) Do any non-trivial number derivatives exist?
Number derivative:
Yes! For example,here’s one.
(A’) Do any non-trivial number derivatives exist?
Number derivative:
and so on . . .
Yes! For example,here’s one.
(A’) Do any non-trivial number derivatives exist?
Number derivative:
(A’) Do any non-trivial number derivatives exist?
Yes! For example,here’s an infinitefamily.
Number derivative:
(A’) Do any non-trivial number derivatives exist?
Number derivative:
(A’) Do any non-trivial number derivatives exist?
Number derivative:
(A’) Do any non-trivial number derivatives exist?
Number derivative:
(A’) Do any non-trivial number derivatives exist?
Number derivative:
(A’) Do any non-trivial number derivatives exist?
Number derivative:
(A’) Do any non-trivial number derivatives exist?
Yes! For example,here’s an infinitefamily.
Number derivative:
(A’) Do any non-trivial number derivatives exist?
Yes! For example,here’s an infinitefamily.
Number derivative:
(A’) Do any non-trivial number derivatives exist?
Yes! For example,here’s an infinitefamily.
Number derivative:
(A’) Do any non-trivial number derivatives exist?
Yes! For example,here’s an infinitefamily.
Number derivative:
(A’) Do any non-trivial number derivatives exist?
Yes! For example,here’s an infinitefamily.
Number derivative:
(A’) Do any non-trivial number derivatives exist?
Yes! For example,here’s an infinitefamily.
Number derivative:
(A’) Do any non-trivial number derivatives exist?
Yes! For example,here’s an infinitefamily.
Number derivative:
(A’) Do any non-trivial number derivatives exist?
Yes! For example,here’s an infinitefamily.
Number derivative:
(A’) Do any non-trivial number derivatives exist?
Yes! For example,here’s an infinitefamily.
Number derivative:
Now that we have some number derivatives, whatquestions can we ask about them?
Number derivative:
Now that we have some number derivatives, whatquestions can we ask about them?
Extend the analogy.
Number derivative:
Now that we have some number derivatives, whatquestions can we ask about them?
Extend the analogy.
What are the “constants”?
Number derivative:
Now that we have some number derivatives, whatquestions can we ask about them?
Extend the analogy.
What are the “constants”? How do you “integrate”?
Number derivative:
Now that we have some number derivatives, whatquestions can we ask about them?
Extend the analogy.
What are the “constants”? How do you “integrate”? Solve ODE.
Number derivative:
Now that we have some number derivatives, whatquestions can we ask about them?
Extend the analogy.
What are the “constants”? How do you “integrate”? Solve ODE.
Number derivative:
Now that we have some number derivatives, whatquestions can we ask about them?
Extend the analogy.
What are the “constants”? How do you “integrate”? Solve ODE.
Number derivative:
(iii) Can we classify all of them?
For more details, see:
Number derivative:
Other papers on number derivatives:
Number derivative:
Other papers on number derivatives:
Number derivative:
Other papers on number derivatives:
Number derivative:
Other papers on number derivatives:
Number derivative:
Other papers on number derivatives:
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