sin(xy)+y^2-e^2 求dx/dy
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/05/05 03:12:33
sin(xy)+y^2-e^2 求dx/dy
sin(xy)+y^2-e^2=0 求dx/dy
sin(xy)+y^2-e^2=0 求dx/dy
三种方法
1 式中同时对x求导
-(y+xy‘)cosxy+2yy'=0
解出y’
2式中同时取微分
d{sin(xy)+y^2-e^2}= dsin(xy)+dy^2-de^2=-cosxydxy+2ydy=-cosxy(ydx+xdy)+2ydy=0
解出dy/dx
3隐函数求导法则
F(x,y)=0
dy/dx=-Fx/Fy
1 式中同时对x求导
-(y+xy‘)cosxy+2yy'=0
解出y’
2式中同时取微分
d{sin(xy)+y^2-e^2}= dsin(xy)+dy^2-de^2=-cosxydxy+2ydy=-cosxy(ydx+xdy)+2ydy=0
解出dy/dx
3隐函数求导法则
F(x,y)=0
dy/dx=-Fx/Fy
sin(xy)+y^2-e^2 求dx/dy
xy-sin(πy^2)=0 求dy/dx
xy+e的平方+y=2 ,求dy/dx
x=sin(y/x)+e^2 求dy/dx
y=3^sinx,求dy/dx Y=e^2x sin^3x求dy 求方程e^y=xy确定的隐函数y=y(X)导数(e^y
e^x+e^y=sin(xy),求dy/dx.怎么求
设e^xy-xy^2=Siny,求dy/dx
由2xy+e∧x-e∧y=0求dy/dx
已知e^y+e^x-xy^2=0,求dy/dx
设sin(xy)-x^2y=0,求dy/dx,求导什么的都要疯了!
设y=y(x)由方程e^xy+sin(xy)=y确定,求dy/dx.
e^(xy)-(x^2)+(y^2)=1,求dy/dx