Introduction to Analysis: Mean Value Theorem and Related Theorems

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MAT 3749
Introduction to Analysis
Section 2.3 Part III
The Mean Value Theorem
http://myhome.spu.edu/lauw
Important Result
 
 
Preview
Extreme Value Theorem
Fermat’s Theorem
Rolle’s Theorem
The Mean Value Theorem
References
Section 2.3
Maximum Value
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An absolute max is a local max.
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Lemma (HW)
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Conceptual Diagrams
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Theorem 
(Consequence of the MVT)
Theorem 
(Consequence of the MVT)
Theorem 
(Consequence of the MVT)
Theorem 
(Consequence of the MVT)
Theorem 
(Consequence of the MVT)
Theorem 
(Consequence of the MVT)
Theorem 
(Consequence of the MVT)
Theorem 
(Consequence of the MVT)
Theorem 
(Consequence of the MVT)
Theorem 
(Consequence of the MVT)
Theorem 
(Consequence of the MVT)
Theorem 
(Consequence of the MVT)
Theorem 
(Consequence of the MVT)
Corollary (Important)
 
 
Corollary (Important)
 
 
Why?
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This resource delves into key concepts such as the Mean Value Theorem, Fermat's Theorem, Rolle's Theorem, Extreme Value Theorem, local maximums, and more. It presents important results and explores proofs in the context of analysis.

  • Analysis
  • Theorems
  • Mean Value Theorem
  • Fermats Theorem
  • Extreme Values
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  1. MAT 3749 Introduction to Analysis Section 2.3 Part III The Mean Value Theorem http://myhome.spu.edu/lauw

  2. Important Result y = (x ) f y = (x ) g f x g x = = If ( ) then ( ) ( ), ( ) g x + f x C ? ?

  3. Preview Extreme Value Theorem Fermat s Theorem Rolle s Theorem The Mean Value Theorem

  4. References Section 2.3

  5. Maximum Value

  6. Local Maximum Local Maximum

  7. T or F An absolute max is a local max.

  8. The Extreme Value Theorem The Extreme Value Theorem

  9. Fermats Theorem Fermat s Theorem

  10. Lemma (HW)

  11. Fermats Theorem Fermat s Theorem

  12. Conceptual Diagrams

  13. Fermats Theorem Fermat s Theorem

  14. Fermats Theorem Fermat s Theorem

  15. Fermats Theorem Fermat s Theorem

  16. Fermats Theorem Fermat s Theorem

  17. Proof Proof

  18. Proof Proof

  19. Proof Proof

  20. Proof Proof

  21. Rolles Theorem Rolle s Theorem

  22. Rolles Theorem Rolle s Theorem

  23. Rolles Theorem Rolle s Theorem

  24. Rolles Theorem Rolle s Theorem

  25. Rolles Theorem Rolle s Theorem

  26. Rolles Theorem Rolle s Theorem

  27. Rolles Theorem Rolle s Theorem

  28. Rolles Theorem Rolle s Theorem

  29. Rolles Theorem Rolle s Theorem

  30. Rolles Theorem Rolle s Theorem

  31. Rolles Theorem Rolle s Theorem

  32. Rolles Theorem Rolle s Theorem

  33. Rolles Theorem Rolle s Theorem

  34. Rolles Theorem Rolle s Theorem

  35. Rolles Theorem Rolle s Theorem

  36. Rolles Theorem Rolle s Theorem

  37. Rolles Theorem Rolle s Theorem

  38. Rolles Theorem Rolle s Theorem

  39. Rolles Theorem Rolle s Theorem

  40. Rolles Theorem Rolle s Theorem

  41. Proof Proof

  42. Proof Proof

  43. The Mean Value Theorem The Mean Value Theorem

  44. The Mean Value Theorem The Mean Value Theorem

  45. The Mean Value Theorem The Mean Value Theorem

  46. The Mean Value Theorem The Mean Value Theorem

  47. The Mean Value Theorem The Mean Value Theorem

  48. The Mean Value Theorem The Mean Value Theorem

  49. The Mean Value Theorem The Mean Value Theorem

  50. The Mean Value Theorem The Mean Value Theorem

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