Definition:Derivative/Higher Derivatives/Third Derivative/Notation

Definition
The third derivative of $f \left({x}\right)$ is variously denoted as:
 * $f''' \left({x}\right)$


 * $D^3 f \left({x}\right)$


 * $D_{xxx} f \left({x}\right)$


 * $\dfrac{\mathrm d^3}{\mathrm d x^3} f \left({x}\right)$

If $y = f \left({x}\right)$, then it can also expressed as $y'''$:
 * $y''' := \dfrac {\mathrm d} {\mathrm d x} \left({\dfrac {\mathrm d^2 y} {\mathrm d x^2}}\right)$

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

Also see

 * Definition:Differentiability Class
 * Definition:Order of Derivative