I have tried so many ways and I am sure I am over analyzing these problems but I dont know if I am suppose to use the Chain Rule Product Rule, I am becoming more confused and just need a step by step visual to get me jump started. If you have time could you please explain why each thing takes place. If not I understand, anyway here is the question.
Find DxY by Implicit Diff
xy + sin(xy) = 1
So (xy' + y)(xy'cos(xy) + ycos(xy))=0
sorta stuck does the xy' factor out. (xy' + y)(cos(xy) + ycos(xy))=0
thanks for the help so far. the above is where I am screwing this thing up. Mark I dont see where the +cos(xy)[x * dy/dx + y] turns into 1 + cos(xy). Btw I am sure you are right, i just dont understand where it comes from is what I am trying to say
It doesn't move away, we just ignore it as a factor that cannot be zero.
If you use the method suggested by TheEmptySet, you will find this factor is divided out or cancels. I highly suggest you try this method as well.