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 f_{x}. 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 f_{y}. 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.

## 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) = x^{4}y^{3} + 8x^{2}y + y^{4} + 5x, then the partial derivatives are

= 4x^{3} y^{3} + 16xy + 5 (Note: y fixed, x independent variable, z dependent variable)

= 3x^{4} y^{2} + 8x^{2} + 4y^{3}

(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 f_{x}, 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 f_{y}, differentiate f with regards to y keeping x as continuous