\text { Use implicit differentiation to find } \frac{\partial z}{\partial x} \text { and } \frac{\partial z}{\partial y} \text {. } 6 x^{2} z+4 z^{3}-6 y z=0 \frac{\partial z}{\partial x}=\frac{12 x z}{6 x^{2}+12 z^{2}-6 y} ; \frac{\partial z}{\partial y}=\frac{6 x^{2}+12 z^{2}-6 y}{6 z} \frac{\partial z}{\partial x}=-\frac{6 x^{2}+12 z^{2}-6 y}{12 x z} ; \frac{\partial z}{\partial y}=\frac{6 x^{2}+12 z^{2}-6 y}{6 z} \frac{\partial z}{\partial x}=\frac{6 x^{2}+12 z^{2}-6 y}{12 x z} ; \frac{\partial z}{\partial y}=-\frac{6 x^{2}+12 z^{2}-6 y}{6 z} \frac{\partial z}{\partial x}=-\frac{12 x z}{6 x^{2}+12 z^{2}-6 y} ; \frac{\partial z}{\partial y}=\frac{6 z}{6 x^{2}+12 z^{2}-6 y}

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