# Calculus

> Computes derivatives, integrals, and solves calculus problems including optimization, Taylor series, and differential equations.

- Skill: `neuralblitz/calculus` (Agent Skill)
- Install (CLI): `npx skillmds@latest add neuralblitz/calculus`
- Raw SKILL.md: https://api.skillmd.com/api/skills/neuralblitz/calculus/raw
- Safety review: PASS (external: skill-scanner PASS, skillspector PASS)
- Works with: Claude Code, Claude.ai, OpenAI Codex
- Category: AI & ML, Coding & Dev Tools
- Tags: Calculus, Derivatives, Differential Equations, Integrals, Optimization, Taylor Series
- License: MIT
- Author: NeuralBlitz (https://skillmd.com/u/neuralblitz)
- Updated: 2026-08-22
- Page: https://skillmd.com/skills/neuralblitz/calculus

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## 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