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

Symbol | Dot derivative |
---|---|

Type of symbol | Dot |

Package (requirement) | No |

Argument | Yes |

Latex command | `\dot{v}` |

Example | `\dot{v}` → v̇ |

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

**Output :**

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 :**

## 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}}`

. The `\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 :**