I am using the lagrangian to find the minmum of the function:
min f(x₁,x₂)=1/(3+x₁)+7/(2+x₂) s.t x₁+x₂=4
Then the lagrangian is
L(x,λ)=1/(3+x₁)-λx₁+7/(2+x₂)-λx₂+4λ
I am stuck at this point because the standard method for solving grad L is tricky.