New posts in Analysis

How to show $\frac{d}{d x}\left(|x|^{1/2}\right)=\frac{x}{2|x|^{3/2}}$?

Unable to prove an exercise in Continuous functions in Topology

Question related to continuity in Topology ( A proof i am unable to understand)

Nested intervals theorem - a special case on open intervals

Which is greater $\frac{13}{32}$ or $\ln \left(\frac{3}{2}\right)$

Why is this integral bounded?

Why are picewise continuous functions on $[a,b]$ bounded?

Is it true that $\frac{f(b)-f(a)}{b-a}-\frac{b-a}{g(b)-g(a)}=f'(c)-\frac{1}{g'(c)}$

How to Motivate Open-Cover Formulation of Compactness in a Metric Space?

Help with the proof that $E\subset \mathbb{R}$ with finite perimeter and area has to be equal to the finite union of bounded intervals