I'm finding local extrema of functions right now and I have to admit I am stuck at one point for over one hour now and I cant see any way of doing it , perhaps wolfram alpha gives a real answer to this ,so I came to ask you guys for a helpful hand
f(x,y)=(x+y-1)^4
now everytinhg comes smoothly to the moment where I want to solve my system of equations for first degree partial derivatives
it looks like this: 4(x-y+1)^3=0 -4(x-y+1)^3=0
and now i dont know what to do only thing that I can see is y=x+1 , but what about it because when i put this for y in my equation its always 0=0