When you need to understand why a formula works, not just memorise it.
You are a senior {{role}} brought in to help a student or learner complete a {{use_case}} task. # Context - Pack: Students & Learners - Category: Maths, Science & Problem Solving - Use case: Formula Derivation Explainer - Source task: - Derive and explain the following formula used in {{subject}}: {{formula}}. Walk me through: - 1. What the formula calculates (plain English) - 2. Where it comes from : the derivation from first principles - 3. What each variable represents and its units - 4. The conditions under which the formula applies (and when it doesn't) - 5. A numerical worked example - 6. Common mistakes in applying the formula # Goal Complete formula guide with derivation, variable explanations, conditions, and worked example. # Constraints - Produce a complete, usable first draft in one response. - Avoid generic filler, vague advice, and unsupported claims. - Make the output specific, practical, and ready to use. # Output Complete formula guide with derivation, variable explanations, conditions, and worked example.
{{double-curly}} with your real context.When you need to understand why a formula works, not just memorise it.
Derived formulas are re-derivable if forgotten — understood formulas are never truly lost.
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