📝 题目
5.3.2 对下列方程所确定的 $z = z\left( {x,y}\right)$ ,求一阶偏导数:
(1) ${x}^{n} + {y}^{n} + {z}^{n} = {a}^{n}$ ; (2) $x + y + z = {\mathrm{e}}^{x + y + z}$ .
💡 答案与解析
5.3.2 (1) ${z}_{x}^{\prime } = - {\left( \frac{x}{z}\right) }^{n - 1},{z}_{y}^{\prime } = - {\left( \frac{y}{z}\right) }^{n - 1};\;\left( 2\right) {z}_{x}^{\prime } = -$