Introduction to Analysis: Mean Value Theorem and Related Theorems
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.
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Presentation Transcript
MAT 3749 Introduction to Analysis Section 2.3 Part III The Mean Value Theorem http://myhome.spu.edu/lauw
Important Result y = (x ) f y = (x ) g f x g x = = If ( ) then ( ) ( ), ( ) g x + f x C ? ?
Preview Extreme Value Theorem Fermat s Theorem Rolle s Theorem The Mean Value Theorem
References Section 2.3
Local Maximum Local Maximum
T or F An absolute max is a local max.
The Extreme Value Theorem The Extreme Value Theorem
Fermats Theorem Fermat s Theorem
Fermats Theorem Fermat s Theorem
Fermats Theorem Fermat s Theorem
Fermats Theorem Fermat s Theorem
Fermats Theorem Fermat s Theorem
Fermats Theorem Fermat s Theorem
Proof Proof
Proof Proof
Proof Proof
Proof Proof
Rolles Theorem Rolle s Theorem
Rolles Theorem Rolle s Theorem
Rolles Theorem Rolle s Theorem
Rolles Theorem Rolle s Theorem
Rolles Theorem Rolle s Theorem
Rolles Theorem Rolle s Theorem
Rolles Theorem Rolle s Theorem
Rolles Theorem Rolle s Theorem
Rolles Theorem Rolle s Theorem
Rolles Theorem Rolle s Theorem
Rolles Theorem Rolle s Theorem
Rolles Theorem Rolle s Theorem
Rolles Theorem Rolle s Theorem
Rolles Theorem Rolle s Theorem
Rolles Theorem Rolle s Theorem
Rolles Theorem Rolle s Theorem
Rolles Theorem Rolle s Theorem
Rolles Theorem Rolle s Theorem
Rolles Theorem Rolle s Theorem
Rolles Theorem Rolle s Theorem
Proof Proof
Proof Proof
The Mean Value Theorem The Mean Value Theorem
The Mean Value Theorem The Mean Value Theorem
The Mean Value Theorem The Mean Value Theorem
The Mean Value Theorem The Mean Value Theorem
The Mean Value Theorem The Mean Value Theorem
The Mean Value Theorem The Mean Value Theorem
The Mean Value Theorem The Mean Value Theorem
The Mean Value Theorem The Mean Value Theorem