題組內容
2. (50%) Answer the following questions.
(b) Given \( F(x, y, z) = xye^z + xz^2 - y = 0 \), find \( \frac{\partial z}{\partial x} \) and \( \frac{\partial z}{\partial y} \) at the point \( (1, 1, 0) \).
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2. (50%) Answer the following questions.
(b) Given \( F(x, y, z) = xye^z + xz^2 - y = 0 \), find \( \frac{\partial z}{\partial x} \) and \( \frac{\partial z}{\partial y} \) at the point \( (1, 1, 0) \).