Latex Partial Derivative

Derivative

The derivative in mathematics signifies the rate of change. The partial derivative is defined as a method to hold the variable constants.

The \partial command is used to write the partial derivative in any equation.

There are different orders of derivatives.

Let's write the order of derivatives using the Latex code. We can consider the output image for a better understanding.

The code is given below:

Output:

Let's use the above derivatives to write the equation. The equation consists of the fractions and the limits section also.

The code for such an example is given below:

Output:

Partial Derivative

There are different orders of partial derivative also.

Let's write the order of derivatives using the Latex code. We can consider the output image for a better understanding.

The code is given below:

Output:

Let's consider an example to write the equations using the partial derivative.

The code for such an example is given below:

Output:

Mixed Partial Derivatives

We can also insert mixed partial derivatives in a single equation.

Let's understand with an example.

The code for such an example is given below:

Output:

We can modify the equation and parameters according to the requirements.

Differentiation

The \diff command is used to display the symbol of differentiation.

To implement differentiation, we need to use the diffcoeff package.

The package is written as:

Let's consider a few examples of differentiation.

The first example is to display the first-order differential equation.

The code is given below

Output:

The second example is to display the second-order differential equation.

The code is given below:

Output:

The code for the third example is given below:

Output:

Differentiation with Partial derivatives

The \diffp command is used to display the symbol of differentiation with partial derivatives.

Let's consider a few examples of differentiation with partial derivatives.

The first example is to display the first-order differential partial derivative equation.

The code is given below:

Output:

The second example is to display the second-order differential partial derivative equation.

The code is given below:

Output:

The third example will display the partial derivative holding the constant value.

It will also include other examples, which will clarify the concept.

The code for such an example is given below:

Output: