Applications of Rolle's Theorem and function analysis
90565
If $f:[0,1] \rightarrow \mathbb{R}$ is continuous function such that $f(0)=f(1)$ then there exists $ x\in [0,1]$ such that $f(x) = f(x+\frac{1}{n})$.
51546
Geometrical Interpertation of Cauchy's Mean Value Theorem
140083
Some questions about functions of bounded variation: Jordan's theorem
55257
Egoroff's theorem in Royden Fitzpatrick (comparison with lemma 10)
47838
Lemma 3.3-7 and Theorem 3.6-2 in Kreyszig's "Introductory Functional Analysis With Applications": What if completeness is lost?
63701
An example of a regular function over an open set
123519
Fréchet differentiability from Gâteaux differentiability
61334
Application of Main Homomorphism Theorem
75882
Countability of local maxima on continuous real-valued functions
138959
On the equality case of the Hölder and Minkowski inequalities
20801
Application of inverse function theorem for several variable functions
450
euler's theorem of homogeneuos function
11575
Application of Riemann mapping theorem
60520
Upper bound for $|f(0)|$ based on its behavior within the unit disk.
12284
Mean Value Theorem Motivation
40121
Asymptotes of function
23414
Topologist's Sine Curve: A rigorous proof of why $\overline{S} = S \cup V$