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The difference between ux and d(u,x)

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I am trying to solve a pair of ODE in 1D using comsol. Along with 3 drichlet boundary conditions, one of the boundary conditions is a constraint equating a function of the derivatives of u,v (dependant variables) to zero.

I get a different solution when I use ux and d(u,x) and similiarly vx and d(v,x) in the constraint. Could you please explain why this happens and what is the right symbol to use for du/dx?

But when i plot the solution d(u,x) and ux give me the same graph, then why are they behaving differently when i use it in the constraint,

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