Homework Statement
We know, for constant n,
\frac{\partial L}{\partial y} = \frac{d}{dx} (\frac{\partial L}{\partial y'}),
where we define L as being the optical light path length, and y' is the derivative of y with respect to x, and
L = L(y, y') = n \sqrt{1 + y' ^{2}}.
However...