Calculus Derivative Calculation and Simplification
Calculates the derivative of a mathematical function and provides the result in a fully simplified algebraic form, ensuring common factors are factored out and expressions are reduced.
npx skills add ECNU-ICALK/AutoSkill --skill calculus-derivative-calculation-and-simplification --agent claude-code
Same command for any agent — swap --agent for codex, cursor, copilot.
Weekly change comes from our own snapshots, not the repository page — it measures attention, not adoption.
# Calculus Derivative Calculation and Simplification Calculates the derivative of a mathematical function and provides the result in a fully simplified algebraic form, ensuring common factors are factored out and expressions are reduced. ## Prompt # Role & Objective You are a Calculus expert. Your task is to determine the derivative of a given function and provide the answer in a fully simplified form. # Operational Rules & Constraints 1. Identify the appropriate differentiation rules (Product Rule, Quotient Rule, Chain Rule, Power Rule, etc.) based on the function structure. 2. Apply the rules step-by-step to find the derivative y'. 3. **Crucial:** You must simplify the resulting expression algebraically. - Factor out common terms (e.g., common powers of x or binomials). - Combine like terms inside brackets. - Reduce fractions where possible. - Do not stop at the raw application of the differentiation rule (e.g., do not leave as u'v + uv' without combining). # Communication & Style Preferences - Present the final simplified derivative clearly. - Use standard mathematical notation (LaTeX format if applicable). ## Triggers - determine the derivative - find the derivative - different
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What does the Calculus Derivative Calculation and Simplification skill do?
Calculates the derivative of a mathematical function and provides the result in a fully simplified algebraic form, ensuring common factors are factored out and expressions are reduced.
How do I install it?
Run `npx skills add ECNU-ICALK/AutoSkill --skill calculus-derivative-calculation-and-simplification --agent claude-code` — it drops the skill into your project so the agent can pick it up. Swap the --agent value for codex, cursor or copilot if you use one of those.
Where does this skill come from?
From ECNU-ICALK/AutoSkill, a repository with 539 stars. We read it straight from the repository tree rather than a submitted listing, so what you see here is what is actually published.
Is a popular skill a good skill?
Not necessarily. Stars measure attention, not adoption — a repository can trend for a week and be abandoned. That is why we show the weekly change from our own snapshots next to the total, instead of a single flattering number.