Derivatives
The instantaneous rate of change of a function - the slope of its graph at a single point, defined as a limit.
Depth 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, depth 1, in the order you can learn it.
- 1CountingDepth 1 · Foundation · Number Systems
- 2Natural numbersDepth 1 · Foundation · Number Systems
- 3ZeroDepth 1 · Foundation · Number Systems
- 4The number lineDepth 1 · Foundation · Number Systems
- 5NumeralsDepth 1 · Foundation · Number Systems
- 6Place valueDepth 1 · Foundation · Number Systems
- 7Comparing numbersDepth 1 · Foundation · Number Systems
- 8IntegersDepth 1 · Foundation · Number Systems
- 9VariablesDepth 1 · Foundation · Algebra
- 10FunctionsDepth 1 · Foundation · Algebra
- 11AdditionDepth 1 · Foundation · Arithmetic
- 12MultiplicationDepth 1 · Foundation · Arithmetic
- 13SubtractionDepth 1 · Foundation · Arithmetic
- 14DivisionDepth 1 · Foundation · Arithmetic
- 15FractionsDepth 1 · Foundation · Fractions
- 16Rational numbersDepth 1 · Foundation · Number Systems
- 17SequencesDepth 1 · Foundation · Calculus
- 18LimitsDepth 1 · Foundation · Calculus
- 19DerivativesDepth 1 · Foundation · Calculus
Where it fits
Builds on
This concept
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Once you know Derivatives, come back to these — they'll mean more.
- AccelerationDepth 2Acceleration is the rate of change of a rate of change - a derivative of a derivative.
- IntegralsDepth 2Only with derivatives in hand can you see the surprise at the heart of calculus - accumulating and rate-of-change undo each other.
- VelocityDepth 2"Velocity right now" is a derivative - the limit of average velocity over shorter and shorter time intervals.