`y=sin(xy)`
Differentiating both sides with respect to x,
`dy/dx=cos(xy) d/(dx)(xy)`
`dy/dx=cos(xy)*(xdy/dx+y)`
`dy/dx=xcos(xy)dy/dx+ycos(xy)`
`dy/dx-xcos(xy)dy/dx=ycos(xy)`
`dy/(dx)(1-xcos(xy))=ycos(xy)`
`dy/dx=(ycos(xy))/(1-xcos(xy))`
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