Find all stationary points and describe their nature.
So this is what I did, first I took the two partial derivatives.
Allow the partial derivatives to equal zero to equate the critical points.
For I divided both sides by y (not sure if this was a mistake or not), and for I divided both sides by x.
This left me with:
From here, do I allow the two equations to equal each other and equate from there, or is that just going to get me into a muddle?
I can't seem to work out a simple method to finding values that satisfy both equations aside from guessing (embarrasing I know).
Thanks in advance,
This makes me think that the other two solutions [besides (0,0) and (2/3,4/3)] have one zero in them, ie: (0,y) and (x,0). In which case I would have to take the first piece of advice given and re-arrange my two formulae and sub them in.
However my algebra skills are lacking today and I can't seem to seperate x or y in either of the formulae without dividing by y or x respectively.
A pointer for the first step or two would be appreciated.
PS, I think my mind's just in a bit of a fluster because I've been studying too many consecutive hours for my exam tomorrow. Sorry if I'm missing something really obvious.