How do you find dy/dx in terms of x and y if xln(y) + y^(5) = 9ln(x) ?

Question

anonymous · Answer

Hey there! I take it you are probably in Calc BC? The times! The first thing that is very simple to do is get all terms on one side. so ys on the left and xs on the right.

anonymous · Answer

I hope this helps!

anonymous · Answer

I'm actually in Calc 1, haha. 
I got $$\frac{ x }{ y } + \ln(y) - \frac{ 9 }{ x } = -5y ^{4}$$
But I'm stuck there :/

anonymous · Answer

Actually I don't even know if that's right. I just took the derivative of both sides?

anonymous · Answer

Fancy Stuff. You still got a few things to move over. Just from the view of things, you got a lonely ln(y) thats wants to be with a friend

anonymous · Answer

What can I do with $$-5y ^{4} - \ln(y)$$ ?

anonymous · Answer

Nevermind, I got it. Thanks! :)

anonymous · Answer

This would be a separation of variables.

anonymous · Answer

Seperate the terms to have all of Y on one side, and all of X on the other.

noelgreco · Answer

Use implicit differentiation.