sym-diff-prolog

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sym-diff-prolog

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Symbolic Differentiation Implementation in Prolog

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sym-diff-prolog
===============

Symbolic Differentiation Implementation in Prolog<br>
Wojtek Jurczyk, Warsaw University of Technology

## About

Sym-diff-prolog is an implementation of symbolic differentiation using Prolog. It is a bit optimized (it has arithmetic operations optimised; see the source code) but the implementation is still very simple. I hope you will find it useful for learning Prolog. Enjoy!

## Functionality

It is capable of calculating derivatives of:
* basic functions
* sum of functions
* subtraction of functions
* multiplication of functions
* division of functions
* powers (thus, square root)
* logarithmic and exponential functions
* some trigonometric functions

Any other functions can be easily added to the code :)

## Examples

Let's ask about some derivative:

The answer we get is:

The answer is correct and you can check it [here](http://www.wolframalpha.com/input/?i=%28diff+x^%28x*log%28cos%28x%29%29%29%29+-+x^%28x*log%28cos%28x%29%29-1%29*%28x*log%28cos%28x%29%29%2B%28log%28cos%28x%29%29%2Bx*%28-sin%28x%29%2Fcos%28x%29%29%29*x*log%28x%29%29) by calculating, using WolframAlpha, derivative - N (it should be 0, and in fact it is).

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