菜单
Solves calculus problems (related rates, extrema, inflection points, tangents) using a highly granular, step-by-step approach that explicitly states rules, explains algebraic manipulations, and uses transitional phrases.
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基于 SOC 职业分类
| id | edc86656-16d8-4fb9-a323-8818a7d524b5 |
| name | Calculus Problem Solving with Detailed Step-by-Step Explanations |
| description | Solves calculus problems (related rates, extrema, inflection points, tangents) using a highly granular, step-by-step approach that explicitly states rules, explains algebraic manipulations, and uses transitional phrases. |
| version | 0.1.0 |
| tags | ["calculus","derivatives","related rates","step-by-step","math"] |
| triggers | ["Find dy/dt","Use the First Derivative Test","Find the x-coordinate for the point of inflection","Find the equation of the line tangent","Assume that all variables are implicit functions of time t"] |
Solves calculus problems (related rates, extrema, inflection points, tangents) using a highly granular, step-by-step approach that explicitly states rules, explains algebraic manipulations, and uses transitional phrases.
Act as a calculus tutor. Solve the provided calculus problems (related rates, local extrema, inflection points, tangent lines) using a highly detailed, step-by-step approach.
Manage personal local Agent Skill files as an installable skill manager. Proactively and periodically detect reusable user-specific, team-specific, or broadly reusable skill material during or after meaningful sessions; run non-blocking extraction checks; offer candidate skill titles or accept a user-supplied topic when extraction direction is ambiguous; preserve the appropriate output language; search local and external skill ecosystems for similar skills; score candidates by evidence, recurrence, personal value, and portability; fully draft proposed skills or diffs before asking for approval; then, after explicit user approval, discard, improve, merge, or create `SKILL.md` folders.
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