2x^3 + 3y^3 = 5,求y''求二次导,谢谢!
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2x^3+3y^3=5,求y''''求二次导,谢谢!2x^3+3y^3=5,求y''''求二次导,谢谢!2x^3+3y^3=5,求y''''求二次导,谢谢!2x^3+3y^3=5两边同时对x求导,得6x^2+9y
2x^3 + 3y^3 = 5,求y''求二次导,谢谢!
2x^3 + 3y^3 = 5,求y''
求二次导,谢谢!
2x^3 + 3y^3 = 5,求y''求二次导,谢谢!
2x^3 + 3y^3 = 5
两边同时对x求导,得
6x^2+9y^2·y'=0
y'=-2x^2/3y^2
y''=-(4x·3y^2-2x^2·6y·y')/9y^4
=-(12xy^2-12x^2y·(-2x^2/3y^2))/9y^4
=-(12xy^2+(8x^4/y))/9y^4
=-(12xy^3+8x^4)/9y^5
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