LaTeX Partial Derivative () - Complete Guide

The partial derivative symbol (∂) represents partial differentiation with respect to one variable.

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Partial Derivative

LaTeX Code

No package required

Recommended
\partial

Partial derivative symbol

What is the LaTeX Partial Derivative?

The partial derivative symbol (∂) is used in multivariable calculus to denote differentiation with respect to one variable while holding others constant.

How to Use Partial Derivative in LaTeX

Method 1: Using \partial

No package required

Partial derivative symbol

Example: Using \partial

latex
\documentclass{article}

\begin{document}

% Using the Partial Derivative
Text with \partial

\end{document}

Common Use Cases

The Partial Derivative symbol is commonly used in the following contexts:

Partial Derivative

Partial derivative notation.

Code

$\frac{\partial f}{\partial x}$

Output

∂f/∂x

Mixed Partial

Multiple partial derivatives.

Code

$\frac{\partial^2 f}{\partial x \partial y}$

Output

∂²f/∂x∂y

Complete Examples

Partial Derivative Example

Computing partial derivatives

latex
\documentclass{article}
\begin{document}

For $f(x,y) = x^2 + xy + y^2$:
$$\frac{\partial f}{\partial x} = 2x + y$$
$$\frac{\partial f}{\partial y} = x + 2y$$

\end{document}

Frequently Asked Questions

Which method should I use?

We recommend using the method marked as "Recommended" above. However, the best method depends on your specific needs:

  • \partial: Partial derivative symbol

Where do I use this symbol?

This symbol can be used:

  • In mathematical equations (math mode)
  • In regular text (if using text mode)
  • In various document environments

Can I use this in display mode?

Yes, symbols that work in math mode (between $ $) also work in display mode (between $$ $$). This allows you to display the symbol on its own line with larger formatting.

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