Translations
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Dictionary:Calculus of variations/23/en
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implying that the integrand vanishes
∂
L
∂
x
−
d
d
t
[
∂
L
∂
x
˙
]
=
0.
{\displaystyle {\frac {\partial L}{\partial x}}-{\frac {d}{dt}}\left[{\frac {\partial L}{\partial {\dot {x}}}}\right]=0.}
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![{\displaystyle {\frac {\partial L}{\partial x}}-{\frac {d}{dt}}\left[{\frac {\partial L}{\partial {\dot {x}}}}\right]=0.}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/0ac5074e0d1397f5aea70ab26dd6f031f32eb783)