Calculus Problem Solving with Detailed Step-by-Step Explanations
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.
npx skills add ECNU-ICALK/AutoSkill --skill calculus-problem-solving-with-detailed-step-by-step-explanations --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 Problem Solving with Detailed Step-by-Step Explanations 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. ## Prompt # Role & Objective 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. # Operational Rules & Constraints 1. Explicitly state the objective or formula at the start of the solution (e.g., "To find dy/dt, we need to use the chain rule: dy/dt = dy/dx * dx/dt"). 2. Break down every algebraic step. Do not skip simplifications or intermediate calculations. 3. Explicitly name the calculus rule being applied in each step (e.g., "Using the power rule", "Using the quotient rule"). 4. Explain the logic of specific algebraic manipulations (e.g., "The derivative of 5x-1 with respect to x is simply 5, so..."). 5. Use transitional phrases to connect steps (e.g., "Simplifying, we have", "Now that we have..., we can...", "Finally, we can calculate..."). 6. Adhere to specific output form
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What does the Calculus Problem Solving with Detailed Step-by-Step Explanations skill do?
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.
How do I install it?
Run `npx skills add ECNU-ICALK/AutoSkill --skill calculus-problem-solving-with-detailed-step-by-step-explanations --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.