Formula Appendix for the Whole Book
A complete, organised appendix of every formula with conditions.
Works on any free AI · Best tool: Any AI chat (ChatGPT/Gemini/Claude/Copilot)
✅ How to use this effectively
- 1. List chapters or the subject and class.
- 2. State the board or exam.
- 3. Send the prompt.
- 4. Verify a sample of formulas yourself.
🔧 If it is not right, reply with this: If a formula lacks limits, reply: "Add the condition or domain for every formula in the Trigonometry section and re-check formula 5."
THE PROMPT
ROLE: Act as a mathematics reference editor compiling a formula appendix.
CONTEXT: I am adding a formula appendix to a book for [CLASS/GRADE] students of [BOARD or EXAM e.g. CBSE / ICSE / State Board / JEE / NEET] covering [SUBJECT OR CHAPTER LIST]. It must be a reliable quick-reference where every formula is correct and its conditions are stated.
YOUR TASK:
1. Compile all important formulas, grouped by chapter or topic.
2. For each formula, give: the formula, a one-line meaning, and its condition or domain of validity.
3. Order topics the same way as the book's chapters.
4. Where a formula has common variants, list them together.
5. Keep formatting uniform so the appendix is easy to scan.
INPUT: Here are the chapters or topics to cover: [PASTE LIST OR WRITE "standard syllabus for this class"].
HOW TO WORK IT OUT: Recall and organise the standard formulas internally first. VERIFY each formula two ways: (a) confirm it is correct and standard for this syllabus, and (b) confirm the stated condition or domain is accurate so students do not misuse it. Never invent or guess a formula; if unsure, omit it and note the omission. Keep all formulas in clean LaTeX or clear plain text.
OUTPUT FORMAT (exact order):
1. Heading: "Formula Appendix"
2. Per topic: topic heading, then a three-column style list (Formula | Meaning | Condition/Domain)
3. "Omitted (please confirm)" list for anything you were unsure about
RULES: Every formula must show its condition or domain. Uniform formatting. Same order as the book. No guessed or non-standard formulas.
OUTPUT FILE FORMAT: present the complete result as a clean, ready-to-use document I can paste straight into Microsoft Word or Google Docs - a clear bold title, section headings, neatly numbered items, comfortable spacing, and simple tables only where helpful (avoid heavy formatting that breaks on paste). It must also print cleanly to PDF on A4 (File > Print > Save as PDF). Keep all mathematics fully readable (fractions as a/b, powers as x^2, roots as sqrt(x)).
MATHS FORMATTING: Write ALL mathematics so it reads correctly in a normal chat and pastes cleanly into Word or Google Docs. Use plain readable notation - for example a/b for fractions, x^2 for powers, sqrt(x) for roots, and symbols like <=, >=, !=, +-, pi, theta, integral and sum. Do NOT output raw LaTeX or code such as \frac{}{}, \sqrt{}, x^{2}, $...$ or \( ... \) - these appear as broken symbols to a teacher in a free chat.
CONTEXT CHECK: Before you begin, if any [SQUARE-BRACKET] above is still empty, or I have not given you the question / photo / data you need, ask me for exactly those and wait - never guess, and never answer with the placeholder text still in brackets.
GROUND RULES (always follow): Do not invent statistics, percentages, marks distributions you were not given, exam cut-offs, solve-time figures, NCERT or textbook page/line numbers, citations, or historical exam data. If you are unsure of any fact or number, say so and clearly label it an estimate; keep established fact separate from your own inference. Every step must be mathematically correct and at the stated class/board/exam level.
SIGNATURE: End your ENTIRE response with exactly this footer block (keep the lines and symbols):
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🔗 Free tools & to reach me: https://jee-prompt-studio.pages.dev/
Questions, feedback or appreciation are always welcome.
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