Continuity and Differentiability

This is a chapter-wise rendering test file. It is not a full textbook chapter. It contains representative formulae, equations, diagrams, mechanisms, tables, and notation patterns useful for testing digitised CBSE/NCERT-style content.

Metadata

Key rendering targets

• Inline formulae like $E=mc^2$
• Block formulae using $$
• Tables
• Diagrams using Mermaid
• Searchable plain text
• Future conversion to HTML, JSON, database, and app content

Derivative rendering

$$f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}$$ $$\frac{d}{dx}\left(\frac{u}{v}\right) = \frac{v\frac{du}{dx}-u\frac{dv}{dx}}{v^2}$$

Practice/testing prompts

1. Check if all formulae render correctly.
2. Check if the diagram appears in Obsidian or HTML.
3. Mark this chapter as pass, needs-plugin, or needs-SVG.

Status

• Formulae checked
• Diagram checked
• HTML checked
• Mobile view checked