# Changes related to "Real Analysis"

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#### 26 November 2015

- (diff | hist) . . Real Analysis/Applications of Derivatives; 03:31 . .
**(+1,127)** . . SharingNotes (discuss | contribs) (Began writing the Mean Value Theorem, and shifted the previous contents of the Mean Value Theorem into the Cauchy Mean Value Theorem, which it actually was.) - (diff | hist) . . Real Analysis/Applications of Derivatives; 03:16 . .
**(+2,032)** . . SharingNotes (discuss | contribs) (→Rolle's Theorem: Created a concise definition and provided a proof for Rolle's Theorem. Renamed the old proof as Proof 2) - (diff | hist) . . m Real Analysis/Applications of Derivatives; 03:13 . . (-9) . . SharingNotes (discuss | contribs) (→Theorem(Mean Value Theorem): Renamed the section)

#### 25 November 2015

- (diff | hist) . . Real Analysis/Applications of Derivatives; 21:27 . . (+42) . . SharingNotes (discuss | contribs) (→Existence of Minimum and Maximum Points Theorem: Added a section to the theorem that required the point x to also be a maximum or minimum point)
- (diff | hist) . . m Real Analysis/Applications of Derivatives; 21:24 . . (+17) . . SharingNotes (discuss | contribs) (→Existence of Minimum and Maximum Points Theorem: Replaced the statement of interval A for its intended meaning as A was not defined.)
- (diff | hist) . . m Real Analysis/Applications of Derivatives; 21:23 . . (-100) . . SharingNotes (discuss | contribs) (→Existence of Minimum and Maximum Points Theorem: Moved the explanation of the variable h into the table for clarity)
- (diff | hist) . . Real Analysis/Applications of Derivatives; 21:22 . .
**(+2,314)** . . SharingNotes (discuss | contribs) (→Existence of Minimum and Maximum Points Theorem: Filled out the proof) - (diff | hist) . . Real Analysis/Applications of Derivatives; 15:39 . .
**(+1,674)** . . SharingNotes (discuss | contribs) (Began describing a new theorem and added new headings in preparation for new theorems) - (diff | hist) . . m Real Analysis/Differentiation [review]; 15:07 . .
**(+530)** . . SharingNotes (discuss | contribs) (Added a short introduction piece) - (diff | hist) . . Real Analysis/Applications of Derivatives; 04:26 . . (+16) . . SharingNotes (discuss | contribs) (→Higher Order Derivatives: Corrected a mistake taht only mentioned derivation once when describing second derivation.)
- (diff | hist) . . Real Analysis/Applications of Derivatives; 04:24 . .
**(+1,151)** . . SharingNotes (discuss | contribs) (Added an introduction so that readers will understand the focus of this chapter. Also added a definition "second derivative at a") - (diff | hist) . . Real Analysis/Differentiation; 04:05 . . (-269) . . SharingNotes (discuss | contribs) (Cleaned up the Chain Rule so that it fits the style of the earlier section. No content was modified. Removed the example, as it was already explained in the Properties of Differentiation section)
- (diff | hist) . . Real Analysis/Differentiation; 03:44 . .
**(+1,602)** . . SharingNotes (discuss | contribs) (→Algebraic Properties: Finished writing the reciprocal and division proof, thereby completing the section.) - (diff | hist) . . Real Analysis/Differentiation; 03:15 . .
**(+501)** . . SharingNotes (discuss | contribs) (→Definition-Derived Theorems (Differentiability Implies Continuity): Reformatted the proof so it looks nicer)

#### 24 November 2015

- (diff | hist) . . Real Analysis/Differentiation; 23:26 . .
**(+2,816)** . . SharingNotes (discuss | contribs) (Cleaned and rearranged theorems and added a new proof. Also tabulated some derivations.) - (diff | hist) . . Real Analysis/Differentiation; 05:26 . . (+419) . . SharingNotes (discuss | contribs) (Explained two of the theorems and rewrote the proof using the more readily identifiable version of a derivative)
- (diff | hist) . . Real Analysis/Differentiation; 05:09 . .
**(+1,920)** . . SharingNotes (discuss | contribs) (Replaced the definition of derivative with a more identifiable one so that beginners to analysis will understand the concepts better. Also reformatted the equations to make them cleaner and added two more theorems)