How to write dot derivative(v̇) in LaTeX?

A dot derivative is denoted by a dot or more than one dot on a letter in mathematics.

SymbolDot derivative
Type of symbolDot
Package (requirement)No
ArgumentYes
Latex command\dot{v}
Example\dot{v} → v̇

Use \dot command

It is very easy to write in LaTeX, you need to use \dot{v} command for a single dot and \ddot{v} command for double dot on the letter. And these are the default commands of LaTeX.

\documentclass{article}
\begin{document}
  \[  \dot{v} \]
  \[  \ddot{v} \]
  \[  \dot{v} + v =\cos(\dot{v}) \]
  \[  \ddot{v} + v =\cos(\dot{v}) \]
\end{document}

Output :

Single dot and double dot derivative in latex.

Use amsmath package in LaTeX

You will also need the amsmath package if you want to use more dots on the letter, you can use the \dddot{v} and \ddddot{v} commands included in this package.

If you look at the latex commands, you will understand that as many dots as “d” has been used.

\documentclass{article}
\begin{document}
  \[  \dddot{v} \]
  \[  \ddddot{v} \]
  \[  \dddot{v} + v =\cos(\dot{v}) \]
  \[  \ddddot{v} + v =\cos(\dot{v}) \]
\end{document}

Output :

use more dots in dot derivative in latex.

Dot notation for derivative of a vector in LaTeX

To denote the vector dot derivative you need to use \vec{v} as an argument in the \dot{arg} command like \dot{\vec{v}}.

\vec{arg} command is used to denote vectors in latex and it’s a default command of latex.

You can also use the \vv{arg} command in the esvect package instead of the \vec{arg} command.

This will make the arrow symbol at the top of the letter look more professional and you can use any one of the optional arguments a, b, c … h with the esvect package to print the arrow as you like. Like \usepackage[b]{esvect}, that’s why I recommend it.

\documentclass{article}
\usepackage[c]{esvect}
\begin{document}
  % Use \vec{•} command
  \[  \vec{v}, \dot{\vec{v}}, \ddot{\vec{v}}, \dot{\vec{r}} \]
  \[  \vec{r}=\frac{1}{2}\dot{\vec{v}}t^2 + \vec{v}t \]
  % Use esvect package's \vv{•} command
  \[  \texttt{Output using esvect package} \downarrow \]
  \[  \vv{v}, \dot{\vv{v}}, \ddot{\vv{v}}, \dot{\vv{r}} \]
  \[  \vv{r}=\frac{1}{2}\dot{\vv{v}}t^2 + \vv{v}t \]
\end{document}

Output :

vector dot derivative in latex.

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