# LaTeX differentiation symbols (apostrophe, dot)

The fraction form using d:

$\frac{ d }{ dx } f \\~\\ \frac{ df }{ dx } \\~\\ \frac{\partial y}{\partial x} \\~\\ \frac{\partial{y}}{\partial{x}}$


$\frac{ d }{ dx } f \\~\\ \frac{ df }{ dx } \\~\\ \frac{\partial y}{\partial x} \\~\\ \frac{\partial{y}}{\partial{x}}$

The last two are the partial differentiation.

## Apostrophe

$f' \\~\\ f'' \\~\\ f'(x) \\~\\ f^\prime \\~\\ f^{\prime} \\~\\ f^{\prime}(x)$


$f' \\~\\ f'' \\~\\ f'(x) \\~\\ f^\prime \\~\\ f^{\prime} \\~\\ f^{\prime}(x)$

## Dot

The vector differentiation often use dots particularly in physics. One dot means the first derivative and two dots means the second derivative.

$\dot{a} \\~\\ \ddot{a}$


$\dot{a} \\~\\ \ddot{a}$