Suppose that $f(x,y,z,w)=0=g(x,y,z,w)$ determine $z$ and $w$ as differentiable functions of $x$ and $y$ . I need to find out $\dfrac{\partial z}{\partial x}$ at $y$ .
I tried to approach using total differential form but got stuck. Please provide some insight.
Please do say whether total differential form can be used or not.