Simplification Help: Can't Simplify Further?

[7yler]

I have worked a question down to this, but I am not sure how to simplify any further.

 

[micromass]

I think that has been simplified enough. I see no way to simplify it any further...

 

[dextercioby]

$$= 3 - \frac{3x+y}{x\left(2yx^5 e^{-2y} -1\right)}$$ ??

But that's not really simplification

 

[7yler]

The original question was: suppose $$x^{6}e^{-2y}=ln(xy)$$

Find $$\frac{dy}{dx}$$ by implicit differentiation.

That is the answer that I have come to, but it is said to be wrong.

 

[micromass]

And can you posts what you did to get to that solution?

 

[dextercioby]

Well, you should calculate once more the partial derivative wrt y.