chain rule ครับ โป้งเดียวจอด
$\dfrac{\partial z}{\partial x}=\dfrac{\partial f}{\partial u}\cdot \dfrac{\partial u}{\partial x}+\dfrac{\partial f}{\partial v}\cdot \dfrac{\partial v}{\partial x}$
$\dfrac{\partial z}{\partial y}=\dfrac{\partial f}{\partial u}\cdot \dfrac{\partial u}{\partial y}+\dfrac{\partial f}{\partial v}\cdot \dfrac{\partial v}{\partial y}$
อ้ออย่าลืมว่า
$\dfrac{\partial z}{\partial u}=\dfrac{\partial f}{\partial u}$
$\dfrac{\partial z}{\partial v}=\dfrac{\partial f}{\partial v}$
นะครับ
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