
求下列函数的一阶偏导数 u=z^(y/x)
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u(x, y, z) = z^(y/x)
∂u/∂x = z^(y/x) lnz (-y/x^2) = (-y/x^2)z^(y/x)lnz
∂u/∂y = z^(y/x) lnz (1/x) = (1/x)z^(y/x)lnz
∂u/∂z = (y/x)z^(y/x - 1)
∂u/∂x = z^(y/x) lnz (-y/x^2) = (-y/x^2)z^(y/x)lnz
∂u/∂y = z^(y/x) lnz (1/x) = (1/x)z^(y/x)lnz
∂u/∂z = (y/x)z^(y/x - 1)
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