What is wrong with the simple localised geometric derivation of the Euler Lagrange equation. As opposed to the standard derivation that Lagrange provided.(adsbygoogle = window.adsbygoogle || []).push({});

Sorry I haven't mastered writing mathematically using latex. I will have a look at this over the next few days.

More clarification. I seen a simple derivation that looked at the change in position of a length of rope at a single point and the increase in the gradient to the left and decrease of the gradient to the right at the same point, adding up these variations gave a neat and easy derivation of euler lagrange and made the terms make sense

What's wrong get with the simple euler derivation.

Sorry may have to rewrite this once I have practiced latex.

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# A Derivation of Euler Lagrange, variations

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