Real functions Differentiation Concept
Derivative
Summary
The derivative of a function at a point is the limit of the slopes of secant lines through that point. It measures the rate of change of the function, and it is the slope of the tangent line. The node derivative gives the precise definition.
Where this leads
26 pages build on this one.
- Dynamic equation on time scales
- Brent's method
- Secant method
- Pompeiu derivative
- Birkhoff interpolation
- Differentiation operator p
- Cubic spline
- Mean value theorem for divided differences
- Time-scale calculus
- q-derivative
- Hermite interpolation
- Muller's method
- Nonstandard analysis
- Superlinear convergence of the secant method
- Broyden's method
- Interpolation error formula
- Automatic differentiation
- Spline
- Shift operator as an exponential of differentiation
- Hermite–Genocchi formula
- Inverse quadratic interpolation
- Error bound for the trapezoidal rule
- Fundamental theorem of calculus for Lebesgue integrals
- Delta derivative on a time scale
- Numerical differentiation
- Runge's phenomenon
Further reading
- Web https://en.wikipedia.org/wiki/Derivative, lead section
About this page
| Tag | 0V1EJCT8G6 |
|---|---|
| URI | m2://0V1EJCT8G6 |
| Kind | concept |
| Writing | W1 stated |
| MSC | 26A24 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
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What links here
Definitions
Used by
- Secant method
- Pompeiu derivative
- Birkhoff interpolation
- Differentiation operator p
- Cubic spline
- Mean value theorem for divided differences
- Time-scale calculus
- q-derivative
- Hermite interpolation
- Nonstandard analysis
- Interpolation error formula
- Automatic differentiation
- Spline
- Shift operator as an exponential of differentiation
- Hermite–Genocchi formula
- Fundamental theorem of calculus for Lebesgue integrals
- Numerical differentiation