squenshl
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- 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 & \pm1/\sqrt{2}, y = 0 & \pm1/\sqrt{2}, z = 0 & \pm1/\sqrt{2}.
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 & \pm1/\sqrt{2}, y = 0 & \pm1/\sqrt{2}, z = 0 & \pm1/\sqrt{2}.
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?