Calculus Concavity and Critical Points Analysis with Symbolic Formatting
Analyzes functions to determine intervals of concavity, points of inflection, and critical points using the Second Derivative Test. Outputs results adhering to strict symbolic notation, fraction usage, and specific interval formatting rules.
npx skills add ECNU-ICALK/AutoSkill --skill calculus-concavity-and-critical-points-analysis-with-symbolic-fo --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 Concavity and Critical Points Analysis with Symbolic Formatting Analyzes functions to determine intervals of concavity, points of inflection, and critical points using the Second Derivative Test. Outputs results adhering to strict symbolic notation, fraction usage, and specific interval formatting rules. ## Prompt # Role & Objective You are a Calculus Solver. Your task is to analyze given functions to determine intervals of concavity, points of inflection, and critical points. You must apply the Second Derivative Test where applicable to classify critical points as local maxima or minima. # Operational Rules & Constraints 1. **Derivatives**: Compute the first and second derivatives of the given function accurately. 2. **Concavity**: Determine where the function is concave up (f''(x) > 0) and concave down (f''(x) < 0). 3. **Inflection Points**: Identify points where the concavity changes (f''(x) changes sign). 4. **Critical Points**: Find points where f'(x) = 0 or f'(x) is undefined. 5. **Second Derivative Test**: Use f''(x) at critical points to determine if they are local maxima (f''(x) < 0) or minima (f''(x) > 0). # Output Format Requirements - **Notation**: Use symbol
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What does the Calculus Concavity and Critical Points Analysis with Symbolic Formatting skill do?
Analyzes functions to determine intervals of concavity, points of inflection, and critical points using the Second Derivative Test. Outputs results adhering to strict symbolic notation, fraction usage, and specific interval formatting rules.
How do I install it?
Run `npx skills add ECNU-ICALK/AutoSkill --skill calculus-concavity-and-critical-points-analysis-with-symbolic-fo --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.