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Exploring Non-Trivial Number Derivatives: A Research Journey

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This project, led by Mike Krebs from Cal State LA and developed in collaboration with Caleb Emmons (Pacific University) and Anthony Shaheen (Cal State LA), delves into the intriguing world of number derivatives. It examines key questions such as whether non-trivial number derivatives exist, their remarkable properties, and their classification. The results reveal fascinating insights into the nature of these derivatives, providing a valuable contribution to the field of mathematical research. Stay tuned for a deeper understanding and more discoveries in this area!

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Exploring Non-Trivial Number Derivatives: A Research Journey

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  1. 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

  2. (Product Rule)

  3. Number derivative:

  4. Number derivative: Questions:

  5. Number derivative: Questions: (A) Do they exist?

  6. Number derivative: Questions: (A) Do they exist? (2) What neat-o properties do they have?

  7. Number derivative: Questions: (A) Do they exist? (2) What neat-o properties do they have? (iii) Can we classify all of them?

  8. Number derivative: (A) Do they exist?

  9. Number derivative: (A) Do they exist?

  10. Number derivative: (A) Do they exist? BAWWWW

  11. Number derivative: (A) Do they exist? BAWWWW-RING

  12. Number derivative: (A’)Do any non-trivial number derivatives exist?

  13. Number derivative: (A’)Do any non-trivial number derivatives exist? Stay tuned . . .

  14. Number derivative:

  15. Number derivative: (2) What neat-o properties do they have?

  16. Number derivative: (2) What neat-o properties do they have?

  17. Number derivative: (2) What neat-o properties do they have?

  18. Number derivative: (2) What neat-o properties do they have?

  19. Number derivative: (2) What neat-o properties do they have?

  20. Number derivative: (2) What neat-o properties do they have?

  21. Number derivative: (2) What neat-o properties do they have?

  22. Number derivative: (2) What neat-o properties do they have?

  23. Number derivative: (2) What neat-o properties do they have?

  24. Number derivative: (2) What neat-o properties do they have?

  25. Number derivative: (2) What neat-o properties do they have? (Power Rule)

  26. Number derivative: (2) What neat-o properties do they have? (Power Rule)

  27. Number derivative: (2) What neat-o properties do they have?

  28. Number derivative: (2) What neat-o properties do they have?

  29. Number derivative: (2) What neat-o properties do they have? (by Fermat’s ) theorem

  30. Number derivative: (2) What neat-o properties do they have? (by Fermat’s ) theorem (by the Power Rule)

  31. Number derivative: (2) What neat-o properties do they have? (by Fermat’s ) theorem (by the Power Rule)

  32. Number derivative: (A’)Do any non-trivial number derivatives exist?

  33. Number derivative: (A’)Do any non-trivial number derivatives exist?

  34. Number derivative: (A’)Do any non-trivial number derivatives exist?

  35. Number derivative: (A’)Do any non-trivial number derivatives exist?

  36. Number derivative: (A’)Do any non-trivial number derivatives exist? Yes! For example, here’s one.

  37. Number derivative: (A’)Do any non-trivial number derivatives exist? Yes! For example, here’s one.

  38. Number derivative: (A’)Do any non-trivial number derivatives exist? Yes! For example, here’s one.

  39. Number derivative: (A’)Do any non-trivial number derivatives exist? Yes! For example, here’s one. and so on . . .

  40. Number derivative: (A’)Do any non-trivial number derivatives exist? Yes! For example, here’s an infinite family.

  41. Number derivative: (A’)Do any non-trivial number derivatives exist?

  42. Number derivative: (A’)Do any non-trivial number derivatives exist?

  43. Number derivative: (A’)Do any non-trivial number derivatives exist?

  44. Number derivative: (A’)Do any non-trivial number derivatives exist?

  45. Number derivative: (A’)Do any non-trivial number derivatives exist?

  46. Number derivative: (A’)Do any non-trivial number derivatives exist? Yes! For example, here’s an infinite family.

  47. Number derivative: (A’)Do any non-trivial number derivatives exist? Yes! For example, here’s an infinite family.

  48. Number derivative: (A’)Do any non-trivial number derivatives exist? Yes! For example, here’s an infinite family.

  49. Number derivative: (A’)Do any non-trivial number derivatives exist? Yes! For example, here’s an infinite family.

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