高等数学问题,这道求隐函数二阶导数的题的具体步骤,我就纳闷了,我做了好几遍都做不对~ 来具体的步

2025-01-20 19:29:36
推荐回答(3个)
回答1:

希望这个回答对你有帮助~

回答2:

b^2x^2+a^2y^2 = a^b^2, 两边对x求导,得
2b^2x+2a^2yy' = 0, y' = -b^2x/(a^2y) = -(b^2/a^2)(x/y)
y'' = -(b^2/a^2)(y-xy')/y^2 = -(b^2/a^2)[y+(b^2/a^2)(x^2/y)]/y^2
= -(b^2/a^2)[a^2y^2+b^2x^2]/(a^2y^3)
= -(b^2/a^2)(a^2b^2)/(a^2y^3) = -b^4/(a^2y^3)

回答3:

这是个椭圆方程?