求方程sin(xy)=x确定的隐函数的一阶导数.

方程两边对变量x求导有d[sin(xy)]/dx=dx/dxcos(xy)*d(xy)/dx=1cos(xy)*(dx*y+x*dy)/dx=1cos(xy)*[y+x*(dy/dx)]=1所以：dy/dx=[1-ycos(xy)]/[xcos(xy)]