$x ^ {3} +y ^ {3} +z ^ {3} +12xyz=3$ 일 때 편도함수 $\displaystyle \frac{\partial z} {\partial x}$ 를 구하면?

• ①$\displaystyle - \frac{z^2 +4xy} {x^2 +4yz}$
• ②$\displaystyle - \frac{x ^ {2} +4yz} {z ^ {2} +4xy}$
• ③$\displaystyle - \frac{z ^ {2} +3xy} {x ^ {2} +3yz}$
• ④$\displaystyle - \frac{x ^ {2} +3yz} {z ^ {2} +3xy}$
• ⑤$\displaystyle - \frac{z ^ {2} +2xy} {x ^ {2} +2yz}$