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Z = y/(x² + y²)------------------------(1)
x² + y² =y/Z
2x = -yZ'x/Z²
Z'x = -2xZ²/y = (-2/y)(xZ²)-----------(2)
Z''xx = (-2/y)(Z² + 2xZZ'x) = (-2Z/y)(Z+2xZ'x)------(3).........再将(1,2)代入(3)即可
另两个二阶导数求法类似.
x² + y² =y/Z
2x = -yZ'x/Z²
Z'x = -2xZ²/y = (-2/y)(xZ²)-----------(2)
Z''xx = (-2/y)(Z² + 2xZZ'x) = (-2Z/y)(Z+2xZ'x)------(3).........再将(1,2)代入(3)即可
另两个二阶导数求法类似.
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