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 $x$:


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


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


 * $\dfrac {\d y} {\d x}$ when $y = \map f x$


 * $\map {f'} x$


 * $\map {D f} x$


 * $\map {D_x f} x$

When evaluated at the point $\tuple {x_0, y_0}$, the derivative of $f$ at the point $x_0$ can be variously denoted:
 * $\map {f'} {x_0}$


 * $\map {D f} {x_0}$


 * $\map {D_x f} {x_0}$


 * $\map {\dfrac {\d f} {\d x} } {x_0}$


 * $\valueat {\dfrac {\d f} {\d x} } {x \mathop = x_0}$

and so on.