作业帮对于(y一撇）y`=y/x(y-1)求导,我求的结果是y``=-y^2-y`x+y/x^2(y-1)^2 怎么不对啊,我的求导过程是：y`x(y-1) - [x(y-1)]` y y`xy-y`x-(y-1+xy`)y -y^2-y`x+yy``=-------------------------=----------------------=-----------------x^2 (y-1
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![对于(y一撇）y`=y/x(y-1)求导,我求的结果是y``=-y^2-y`x+y/x^2(y-1)^2 怎么不对啊,我的求导过程是：y`x(y-1) - [x(y-1)]` y y`xy-y`x-(y-1+xy`)y -y^2-y`x+yy``=-------------------------=----------------------=-----------------x^2 (y-1](/uploads/image/z/10269555-51-5.jpg?t=%E5%AF%B9%E4%BA%8E%28y%E4%B8%80%E6%92%87%EF%BC%89y%60%3Dy%2Fx%28y-1%29%E6%B1%82%E5%AF%BC%2C%E6%88%91%E6%B1%82%E7%9A%84%E7%BB%93%E6%9E%9C%E6%98%AFy%60%60%3D-y%5E2-y%60x%2By%2Fx%5E2%28y-1%29%5E2+%E6%80%8E%E4%B9%88%E4%B8%8D%E5%AF%B9%E5%95%8A%2C%E6%88%91%E7%9A%84%E6%B1%82%E5%AF%BC%E8%BF%87%E7%A8%8B%E6%98%AF%EF%BC%9Ay%60x%28y-1%29+-+%5Bx%28y-1%29%5D%60+y+y%60xy-y%60x-%28y-1%2Bxy%60%29y+-y%5E2-y%60x%2Byy%60%60%3D-------------------------%3D----------------------%3D-----------------x%5E2+%28y-1)
对于(y一撇）y`=y/x(y-1)求导,我求的结果是y``=-y^2-y`x+y/x^2(y-1)^2 怎么不对啊,我的求导过程是：y`x(y-1) - [x(y-1)]` y y`xy-y`x-(y-1+xy`)y -y^2-y`x+yy``=-------------------------=----------------------=-----------------x^2 (y-1
对于(y一撇）y`=y/x(y-1)求导,我求的结果是y``=-y^2-y`x+y/x^2(y-1)^2 怎么不对啊,
我的求导过程是：
y`x(y-1) - [x(y-1)]` y y`xy-y`x-(y-1+xy`)y -y^2-y`x+y
y``=-------------------------=----------------------=-----------------
x^2 (y-1)^2 x^2(y-1)^2 x^2(y-1)^2
请问这个哪里错了吗？
最后答案是y``=2y`-x(y`)^2-yy`
------------------
xy-y
对于(y一撇）y`=y/x(y-1)求导,我求的结果是y``=-y^2-y`x+y/x^2(y-1)^2 怎么不对啊,我的求导过程是：y`x(y-1) - [x(y-1)]` y y`xy-y`x-(y-1+xy`)y -y^2-y`x+yy``=-------------------------=----------------------=-----------------x^2 (y-1
在原方程两边都求对数ln,得到
ln y'=ln y - ln(xy-x)
之后再在两边求导得到：
y"=(y')^2/y - (y+xy‘-1)/(xy-x)
我算的是这样的,你验算一下看看对不对,你可以再回复我