Physics: derivatives\functionalderivative

\functionalderivativeCommand

Verbose physics-package command for functional or variational derivatives in field theory and variational calculus.

\functionalderivative{F}
Available in
physics
Kind
prefix
Allowed mode
math
Frequency
Not measured
Commonality
low
Renderer support
PackageMathJaxKaTeXXeTeX
physicsMathJax: FullKaTeX: NoneXeTeX: Full
About the test scope

Syntax#

\functionalderivatives*staro[a]optional math contentm{b}math contentg{c}optional math content

Argspec s o m g — three optional and one mandatory argument. Reading argspecs

Examples#

\functionalderivative{F}{x}
\functionalderivative[2]{F}
\functionalderivative*{F}{x}

In TeXForm#

TeXForm parses this entry as prefix syntax; the package determines its argument specification.

Expands to#

\functionalderivative{#1}{#2} \frac{\delta #1}{\delta #2}

Internal reparse. Star uses \flatfrac. Single argument expands to \frac{\delta}{\delta #1}.

Equivalent forms#

  • \fderivativeexact

    PhysicsMappings registers all three names to the same Derivative handler with argMax=2 and op='\\delta'.

  • \fdvexact

    PhysicsMappings registers all three names to the same Derivative handler with argMax=2 and op='\\delta'.

See also#

Test cases#

physics
InputCaseMathJaxKaTeXXeTeX
\functionalderivative{a}Positive · baselinePassFailPass
\functionalderivative*{a}Positive · vary:s[0]PassFailPass
\functionalderivative[a]{b}Positive · vary:o[1]PassFailPass
\functionalderivative{a}{b}Positive · vary:g[3]PassFailPass
\functionalderivative*[a]{b}{c}Positive · maximalPassFailPass
\functionalderivative aPositive · bare[2]PassFailPass
All 14 in Physics: derivatives