rurihabachi.com - Web API - Differentiation

Differentiation - Web API

This api returns a (partial) derivative of a provided function.

» Check the function of this API: go to Differentiate f(x) page (math tool).

To use this API, access to the URLs listed below.
Each Web API returns XML / JSON (JSONP) / CSV data.

XML	http://www.rurihabachi.com/web/webapi/differentiation/xml
JSON/JSONP	http://www.rurihabachi.com/web/webapi/differentiation/json
CSV	http://www.rurihabachi.com/web/webapi/differentiation/csv

» See also How to use Web API page.

Parameters: (*required)

function *	string	a function (e.g. x^2+x+2) - valid characters (x, y, z, a, b, and c are constants): 1234567890+-*/()^,pi,e,sqrt,log,sin,cos,tan,a,b,c,x,y,z
variable	string	a variable (e.g. x) - differentiate the function with respect to this variable. - default: x
callback	string	a callback function name (e.g. setResult) - valid only JSONP

Return values:

function	string	a recognized function (might have a different form from the submited function). e.g. x^2+x+2
variable	string	the function above has been (partially) differentiated with respect to this variable. (e.g. x)
status	integer	0:OK, 1-999:error
message	string	an error message etc.
count	integer	the number of the result set (0 or 1)
resultset	-	a result set
expression	string	a differentiated expression (empty if status is not 0) e.g. 2x+1

* * *

Return data samples:

XML

<?xml version="1.0" encoding="UTF-8"?>

<result function="differentiation">
  <function>x^2+x+2</function>
  <variable>x</variable>
  <status>0</status>
  <message>OK</message>
  <count>1</count>
  <resultset>
    <expression>2x+1</expression>
  </resultset>
</result>

JSON(JSONP)

{"function":"x^2+x+2","variable":"x","status":0,"message":"OK","count":1,"resultset":[{"expression":"2x+1"}]}

CSV

"x^2+x+2","x",0,"OK",1
"2x+1"