-
successive differentiation There is a
concept for
partial derivatives that is
analogous to
antiderivatives for
regular derivatives.
Given a
partial derivative...
-
automatic differentiation (auto-
differentiation, autodiff, or AD), also
called algorithmic differentiation, com****tional
differentiation, is a set of...
- one to
specify the
variable for
differentiation (in the denominator). This is
especially helpful when
considering partial derivatives. It also
makes the...
-
derivative and an
integral (
differentiation under the
integral sign; i.e.,
Leibniz integral rule); the
change of
order of
partial derivatives; the change...
- ϕ{\displaystyle \phi \,},
covariant differentiation is
simply partial differentiation: ϕ;a≡∂aϕ{\displaystyle \phi _{;a}\equiv \
partial _{a}\phi } For a contravariant...
-
process of
finding a
derivative is
called differentiation.
There are
multiple different notations for
differentiation, two of the most
commonly used being...
- {\
partial u}{\
partial r}}={\frac {\
partial u}{\
partial x}}{\frac {\
partial x}{\
partial r}}+{\frac {\
partial u}{\
partial y}}{\frac {\
partial y}{\
partial...
- of an
implicit function for
which implicit differentiation is
easier than
using explicit differentiation is the
function y(x)
defined by the equation...
- This is a
summary of
differentiation rules, that is,
rules for
computing the
derivative of a
function in calculus.
Unless otherwise stated, all functions...
-
multivariable function, as
shown here, the
differentiability of it is
something more than the
existence of the
partial derivatives of it. A
function f:U→R{\displaystyle...