calculus
Differential and integral calculus
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- Repository
- ffsshhttiikk/opencode-agents-skills
- Last source activity
- February 28, 2026 at 22:46
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- English
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- 3
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SKILL.md
Source instructions · Read-only preview- name
- calculus
- description
- Differential and integral calculus
- license
- MIT
- compatibility
- opencode
- metadata
- {"audience":"mathematicians","category":"mathematics"}
## What I do
- Compute derivatives and integrals of functions
- Apply differentiation rules (product, chain, quotient)
- Solve optimization problems using derivatives
- Evaluate definite and improper integrals
- Apply Taylor series expansions
- Solve differential equations
## When to use me
When analyzing rates of change, finding optimal values, or computing areas and accumulations.
## Key Concepts
- **Derivative**: f'(x) = lim_{h→0} (f(x+h) - f(x))/h
- **Chain Rule**: (f∘g)' = (f'∘g)g'
- **Fundamental Theorem**: ∫_a^b f'(x)dx = f(b) - f(a)
- **Taylor Series**: f(x) = Σ f^{(n)}(a)/n! (x-a)^n
- **Integration by Parts**: ∫u dv = uv - ∫v du
- **L'Hôpital's Rule**: lim f/g = lim f'/g' for indeterminate forms
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