- #1
squenshl
- 479
- 4
I was given f(x,y,z) = x4 + y4 + z4 - x2 - y2 - z2.
I found that (or least I think it's these) x = 0 & [tex]\pm1/\sqrt{2}[/tex], y = 0 & [tex]\pm1/\sqrt{2}[/tex], z = 0 & [tex]\pm1/\sqrt{2}[/tex].
What I'm stuck with is exactly how much critical points are there, by the looks of things there are a few but I'm not too sure, how do I arrange them?
I found that (or least I think it's these) x = 0 & [tex]\pm1/\sqrt{2}[/tex], y = 0 & [tex]\pm1/\sqrt{2}[/tex], z = 0 & [tex]\pm1/\sqrt{2}[/tex].
What I'm stuck with is exactly how much critical points are there, by the looks of things there are a few but I'm not too sure, how do I arrange them?