cos(xy)=x求隐函数的导数dy/dx
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cos(xy)=x求隐函数的导数dy/dx
![cos(xy)=x求隐函数的导数dy/dx](/uploads/image/z/6736224-48-4.jpg?t=cos%28xy%29%3Dx%E6%B1%82%E9%9A%90%E5%87%BD%E6%95%B0%E7%9A%84%E5%AF%BC%E6%95%B0dy%2Fdx)
cos(xy)=x
两边对x求导:-sin(xy)[y+xy']=1
y+xy'=-1/sin(xy)
xy'=-y-(1/sin(xy))
y'=[-y-(1/sin(xy))]/x
两边对x求导:-sin(xy)[y+xy']=1
y+xy'=-1/sin(xy)
xy'=-y-(1/sin(xy))
y'=[-y-(1/sin(xy))]/x
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