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# Partial Derivative Calculator

Enter the function, select variable, and mention differentiation order. The tool will differentiate the function multi times up to the order you entered, with steps shown.

This Partial derivative calculator is used to differentiate mathematical functions that contain multiple variables.

## What Is a Partial Derivative?

"The partial derivative is defined as the derivative of a multivariable function with respect to one variable, while all other variables remain unchanged"

When a function has two variables x and y that are independent of each other, then what to do there! Simply,

• If you require differentiating the function with respect to “x”, then you should keep the variable “y” constant and differentiate.
• On the other hand, if you need to differentiate the function with respect to “y”, then make the variable “x” constant. The symbol “∂” is generally used to indicate chain rule partial derivatives

### How to do a Partial Derivative of Function?

You can do these derivation calculations of a function as:

Take a function to compute the partial derivative. The derivative of a constant is zero When applying a derivative to a variable, only the derivative of that particular variable is solved Solve all the functions for getting the results

### Second Partial Derivatives:

The high-order derivative is very important for testing the concavity of the function and confirming whether the endpoint of the function is maximum or minimum. Since the function f (x, y) is continuously differentiable in the open region, you can obtain the following set of partial second-order derivatives:

• F_{xx} = ∂fx / ∂x, where function f (x) is the first partial derivative of x.
• F_{yy} = ∂fy / ∂y, where function f (y) is the first order derivative with respect to y.

## How Does Partial Derivative Calculator Work?

Our partial derivative calculator differentiates the given functions by following these steps:

Input:

• First, enter a function for differentiation
• Now, select the variable for derivative from the drop-down list
• Then, select how many times you need to differentiate the given function
• Hit the calculate button

Output:

• Partial derivative of a function with step by step calculations