YOUR SECOND BRAIN

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Mathematics

The building blocks of calculus

A derivative describes how a function changes. For f(x) = x², the derivative is 2x. An integral accumulates change over an interval. Revision prompt: explain the difference between instantaneous and average rate of change.

Physics

Newton’s three laws

1. An object maintains its motion unless acted on by a net force. 2. Force equals mass times acceleration: F = ma. 3. Every action has an equal and opposite reaction. Think about these laws when a bus brakes suddenly.