Chain Rule

Calculus Level 4

Functions \(f\) and \(g\) are such that: \[\large f(x,y)=g(u,v)\] where \(u=\dfrac{x+y}{xy}\) and \(v=\dfrac{x-y}{xy}\). Find the value of: \[\large x^2\frac{\partial f}{\partial x}+y^2\frac{\partial f}{\partial y}+2\frac{\partial g}{\partial u}\]

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