Definition:Derivative/Notation

Notation for Derivative
There are various notations available to be used for the derivative of a function $f$ with respect to the independent variable $x$:


 * $\dfrac {\mathrm d f} {\mathrm d x}$


 * $\dfrac {\mathrm d} {\mathrm d x} \left({f}\right)$


 * $\dfrac {\mathrm d y} {\mathrm d x} \left({f}\right)$ when $y = f \left({x}\right)$


 * $f' \left({x}\right)$


 * $D f \left({x}\right)$


 * $D_x f \left({x}\right)$

When evaluated at the point $\left({x_0, y_0}\right)$, the derivative of $f$ at the point $x_0$ can be variously denoted:
 * $f' \left({x_0}\right)$


 * $D f \left({x_0}\right)$


 * $D_x f \left({x_0}\right)$


 * $\dfrac {\mathrm d f} {\mathrm d x} \left({x_0}\right)$

and so on.