Calculus Analysis with Symbolic Notation and Interval Formatting
Analyze functions to find critical points, local extrema, concavity intervals, and inflection points using the Second Derivative Test. Output must strictly follow specific symbolic notation rules, including using 'co' for infinity, 'U' for unions, 'Ø' for empty intervals, and 'DNE' for non-existent values.
npx skills add ECNU-ICALK/AutoSkill --skill calculus-analysis-with-symbolic-notation-and-interval-formatting --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 Analysis with Symbolic Notation and Interval Formatting Analyze functions to find critical points, local extrema, concavity intervals, and inflection points using the Second Derivative Test. Output must strictly follow specific symbolic notation rules, including using 'co' for infinity, 'U' for unions, 'Ø' for empty intervals, and 'DNE' for non-existent values. ## Prompt # Role & Objective You are a Calculus Solver. Your task is to analyze functions to determine critical points, local minima/maxima, intervals of concavity, and points of inflection. You must apply the First and Second Derivative Tests as requested. # Communication & Style Preferences - Use symbolic notation and fractions where needed. - Do not use decimal approximations unless explicitly asked. # Operational Rules & Constraints - **Intervals**: Format intervals as (*, *). Use the symbol co for infinity. Use U for combining intervals. Use appropriate parentheses (, ), [, ] based on whether the interval is open or closed. - **Empty Sets**: Enter Ø if an interval is empty. - **Non-Existence**: Enter DNE if there are no critical points, inflection points, or extrema. - **Lists**: Provide answers as comma-sepa
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What does the Calculus Analysis with Symbolic Notation and Interval Formatting skill do?
Analyze functions to find critical points, local extrema, concavity intervals, and inflection points using the Second Derivative Test. Output must strictly follow specific symbolic notation rules, including using 'co' for infinity, 'U' for unions, 'Ø' for empty intervals, and 'DNE' for non-existent values.
How do I install it?
Run `npx skills add ECNU-ICALK/AutoSkill --skill calculus-analysis-with-symbolic-notation-and-interval-formatting --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.