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Calculus — Derivatives, Integrals, and Limits

Calculus has two core operations: differentiation, which finds instantaneous rates of change, and integration, which reverses that process and measures accumulation.

Calculus studies change and accumulation. Start with limits, then derivatives (rates of change) and integrals (accumulated quantity).

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Frequently asked questions

Do I need limits before derivatives?

The derivative is defined as a limit. You can learn derivative rules first, but understanding limits makes those rules less mysterious.