Order (derivative)
Revision as of 16:02, 11 March 2022 by Orange quail 9 (talk | contribs) (Created page as a definition.)
The order of a derivative is the number of successive differentiations performed to obtain the derivative from the original function. Formally, using Lagrange's notation for the derivative, the order- derivative is defined recursively by
The function itself is the order-
derivative, the ordinary (first) derivative has order
, the second derivative has order
, and so on. In general, the derivative of order
is called the
th derivative.