Derivatives
The instantaneous rate of change of a function - the slope of its graph at a single point, defined as a limit.
Level 1 · Foundation
The instantaneous rate of change of a function - the slope of its graph at a single point, defined as a limit.
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Your path here
What's still between you and Derivatives, level 1, in the order you can learn it.
- 1Natural numbersLevel 1 · Foundation · Number Systems
- 2IntegersLevel 1 · Foundation · Number Systems
- 3VariablesLevel 1 · Foundation · Algebra
- 4FunctionsLevel 1 · Foundation · Algebra
- 5Rational numbersLevel 1 · Foundation · Number Systems
- 6SequencesLevel 1 · Foundation · Calculus
- 7LimitsLevel 1 · Foundation · Calculus
- 8DerivativesLevel 1 · Foundation · Calculus
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Once you know Derivatives, come back to these — they'll mean more.
- AccelerationLevel 2Acceleration is the rate of change of a rate of change - a derivative of a derivative.
- IntegralsLevel 2Only with derivatives in hand can you see the surprise at the heart of calculus - accumulating and rate-of-change undo each other.
- VelocityLevel 2"Velocity right now" is a derivative - the limit of average velocity over shorter and shorter time intervals.