Derivative

"Derivative" is an easy to use free and open-source (LGPL v3) application to calculate mathematical derivatives with many features :

ordinary and partial derivatives from 1 to 3 variables;
multiple derivatives;
calculation of gradient, divergent, curl and laplacian in 3 dimensions and different coordinate systems (cartesian, cylindrical and spherical);
5 simplification methods for non-numerical results;
option to show the calculation time;
option to show the not calculated derivative before the result;
7 output types : simple, bidimensional, typesetting, LaTeX, MathML, C and Fortran;
copy&paste available in all entry fields and also in the result, allowing copying the result to anywhere;
history and line completion editing in the input expressions.

"Derivative" runs on Maemo 4 (Nokia N800/N810), Maemo 5 (Nokia N900) or any smartphone/tablet/computer where Python, SymPy and PyQt are available. Future versions will use PySide and QML.

SymPy is a computer algebra system (CAS) written in pure Python, it is free and open source project, see http://sympy.org/. SymPy last version (0.7.1, July 2011) is available for Maemo 4 (Diablo) and Maemo 5 (Fremantle), see the SymPy thread in Talk Maemo.org.

Derivative for Maemo 4 & 5

See also the "Derivative" topic in Talk Maemo.org.

Second derivative of square root with respect of x, on Nokia N810. "Symplify all" setting is responsible for the long calculation time and the short result. On Nokia N900 it takes 39.5 s.	On Nokia N900, multiple and partial derivative of a wave function of 2 variables, x and t, using greek characters.
Gradient operator on Nokia N810 of a (negative) eletric potential yielding the eletric vector field in spherical coordinates.	Divergence operator on Nokia N900 of a eletric vector field in spherical coordinate system, with the result given in terms of Dirac delta function.
Curl of a generic function in cartesian coordinate system on Nokia N900.	First terms of the laplacian operator of a generic function in spherical coordinate system on Nokia N900.
Menu of "Derivative" on Nokia N900 shows that the vector differential operators (grad, div, curl and laplacian) are also available.	The default settings of "Derivative" on Nokia N900. Simplification methods "Symplify terms" /"Symplify all" can take a long time for large results, so the default is "None".

Derivative v1.0.0 (16/10/2011) :

1st public release for Maemo 4 Diablo and Maemo 5 Fremantle on extras-devel/extras-testing/extras repository;
using SymPy 0.7.1 (07/2011);
time to load is approx. 18 seconds on Nokia N810 and 7 seconds on Nokia N900 @ 600 MHz.

Derivative v1.0.2 (22/10/2011) for Maemo 4 Diablo :

depends on python-symPy_0.7.1-maemo4 (or newer) which fixes the missing dependency of python2.5-dev on Maemo 4 Diablo;
saves the last used coordinate system;
uses 'Symplify terms' as the default simplification method.

To-do list for v1.1 onwards :

show the source-code files of "Derivative" in Git or Nokia Developer Projects, etc;
make a QML (Qt Quick) version to run on MeeGo 1.2 Harmattan testing it on Nokia N950 or N9, creating a "Derivative.deb" for Harmattan;
starting/splash screen with useful information while "Derivative" is loading;
output with typesetting;
button to stop calculation;
"Share" menu function to send the result using SMS, Email, Bluetooth, etc;
translations in english and portuguese;
run on MeeGo tablets/netbooks, creating install file "Derivative.rpm".

Download, Install & Run

on Nokia N800/810 (Maemo 4 Diablo) enable the "extras" repository, search for "Integral" in the application manager and install it. Or tap the install icon on Derivative Maemo.org Download to install the "extras" repository and "Derivative". "Derivative" will also install Python, PyQt, SymPy and TTF-Dejavu fonts if they are not installed before.
on Nokia N900 (Maemo 5 Fremantle), search for "Derivative" in the application manager and install it. Or tap the install icon on Derivative Maemo.org Download to install "Derivative". "Derivative" will also install Python, PyQt and SymPy if they are not installed before.
Download "Derivative" v1.0.2 source code (Python file, 53.2 KB) for any desktop computer with PyQt and SymPy installed. Save in some directory, open the "X Terminal" and run "python derivative.py".