Partial Derivative Calculator

With our free partial derivative calculator, learn the method of approximate differentiation

If the function is f(x,y) , then the differentiation of f with regards to x keeping y as continual is known as partial derivative associated with f with regards to x that is denoted through fx. In the same way the difference of f with regards to y keeping x as continual is known as as partial derivative of f with regards to y which can be denoted through fy. Online Partial Derivative Calculator is really a tool helping to make calculations simple and easy. It is accustomed to calculate the partial difference of a function along with two variables.


  

     

Input: a                        

Input 1 st value: f(x)      

Input 2 nd value: f(x-1a)

Input 3 rd value: f(x-2a)

Input 4 th value: f(x-3a)

Input 5 th value: f(x-4a)

Input 6 th value: f(x-5a)

Input 7 th value: f(x-6a)

Input 8 th value: f(x-7a)

Input 9 th value: f(x-8a)

Input 10th value: f(x-9a)

Input 11th value: f(x-10a)

Input 12th value: f(x-11a)

Input 13th value: f(x-12a)

Input 14th value: f(x-13a)

Input 15th value: f(x-14a)

     

The first derivate of the function: Df(x) is
  
       

     


Examples on Partial Derivative Calculator

Provided a multi variable function, we described the partial derivative of one variable with regards to another variable in class. All the other variables are taken as constants.

Below is a basic partial derivative example:

1. If z = f(x, y) = x4y3 + 8x2y + y4 + 5x, then the partial derivatives are
= 4x3 y3 + 16xy + 5 (Note: y fixed, x independent variable, z dependent variable)
= 3x4 y2 + 8x2 + 4y3
(Note: x fixed, y independent variable, z dependent variable)


Steps for Partial Derivative

Step 1 : Notice the given function with 2 variables.

Step 2 : - To obtain the partial derivative of f with regards to x that is denoted by or fx, distinguish f with regards to x keeping y as continuous.
- To obtain the partial derivative of f with regards to y that is denoted by or fy, differentiate f with regards to y keeping x as continuous