Find the derivative dy/dx of x/y-x^2=1 by (a) solving each of the implicit equations for y explicitly in terms of x and (b) by differentiating each of the equations implicitly.

Question

anonymous · Answer

so im not really sure exactly what the problem is asking but the implicit differentiation         is (y-xy')/y^2 - 2x=0

anonymous · Answer

Thanks. :/ 
I have to solve it for y' thats what its asking :/

anonymous · Answer

oh thats easy. once you have (y-xy')/y^2 - 2x=0 all you do is add the 2x over then multiply everything by ysquared then substract the y over then divide by -x

anonymous · Answer

The answer is $$-2y ^{2}+ \frac{ y }{ x }$$ 

If you could show me the steps how to get that it would solve the question for me.

anonymous · Answer

I solved it thanks to your steps! I cant believe it, I've been trying to solve this for 2h! :) 

Thanks a million!