sinxy =xy 求dy
问题描述:
sinxy =xy 求dy
答
sin(xy) =xy 典型的隐函数求导,两边对x求导即可:cos(xy)*(y+x*dy/dx)=y+x*dy/dx展开cos(xy)*y+cos(xy)*x*dy/dx=y+x*dy/dx两边乘以dxcos(xy)*y*dx+cos(xy)*x*dy=y*dx+x*dy移项cos(xy)*y*dx-y*dx=x*dy-cos(xy)*x*dydy...