Definition:Derivative/Higher Derivatives/Third Derivative/Notation

Definition
The third derivative of $\map f x$ is variously denoted as:
 * $\map {f'''} x$


 * $\map {f^{\paren 3} } x$


 * $D^3 \map f x$


 * $D_{xxx} \map f x$


 * $\dfrac {\d^3} {\d x^3} \map f x$

If $y = \map f x$, then it can also expressed as $y'''$:
 * $y''' := \map {\dfrac \d {\d x} } {\dfrac {\d^2 y} {\d x^2} }$

and written:
 * $\dfrac {\d^3 y} {\d x^3}$

Also see

 * Definition:Differentiability Class
 * Definition:Order of Derivative