derivative
[ first, second, third, ymat ] = derivative ( fn, x )
Quickndirty estimate of first, second and third derivatives of a function at a specified point or vector of points.
Input should be n x 1 vector of points (centres) to evaluate at (for any number of points n).
first, second, third and fourth derivatives will follow suit as n x 1 vector outputs.
ymat output is a n x 7 matrix of samples zigzagging around centres (optional).
Internal delta specifies the precision multiplying zigzag offsets:
[0 -0.5 +0.5 -1.0 +1.0 -1.5 +1.5]
For efficiency samples are calculated once + multiple symmetric derivatives.
For the same reason the local sampling matrix ymat is made available.
Reducing the precision (delta) below that given is dangerous/unstable.
Examples:
x = [-5:.1:5]';
[first, second, third, value] = derivative(@sin,x);
figure(1); plot(x,[first, second, third, value(:,1)]);grid
[first, second, third, value] = derivative(@normpdf,x);
figure(2); plot(x,[first, second, third, value(:,1)]);grid
David M W Powers Jan 2016
Citar como
David Powers (2024). derivative (https://www.mathworks.com/matlabcentral/fileexchange/54707-derivative), MATLAB Central File Exchange. Recuperado .
Compatibilidad con la versión de MATLAB
Compatibilidad con las plataformas
Windows macOS LinuxCategorías
Etiquetas
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!Descubra Live Editor
Cree scripts con código, salida y texto formateado en un documento ejecutable.
Versión | Publicado | Notas de la versión | |
---|---|---|---|
1.0.0.0 | added of gaussian and first three derivatives |