求下列由方程所确定的隐函数y=y(x)的导数dy/dx.(1) x*4-y*4=4-4xy (2) ysinx+cos(x-y)=0

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/24 04:51:54
求下列由方程所确定的隐函数y=y(x)的导数dy/dx.(1)x*4-y*4=4-4xy(2)ysinx+cos(x-y)=0求下列由方程所确定的隐函数y=y(x)的导数dy/dx.(1)x*4-y*

求下列由方程所确定的隐函数y=y(x)的导数dy/dx.(1) x*4-y*4=4-4xy (2) ysinx+cos(x-y)=0
求下列由方程所确定的隐函数y=y(x)的导数dy/dx.
(1) x*4-y*4=4-4xy (2) ysinx+cos(x-y)=0

求下列由方程所确定的隐函数y=y(x)的导数dy/dx.(1) x*4-y*4=4-4xy (2) ysinx+cos(x-y)=0
1、想必那个表示的是指数的意思
所以4x^3dx-4y^3dy=-4ydx-4xdy,有dy/dx=(x^3+y)/(y^3-x)
2、sinxdy+ycosxdx-(dx-dy)sin(x-y)=0
推出dy/dx=(sin(x-y)-ycosx)/(sinx+sin(x-y)).