Hey /sci/ does anyone know a way to find the vertex of an n-dimensional paraboloid?
I think it exists but I cannot find it.
Thanks /sci/
>>7663344
Help me sci you are my only hope.
What is your argument for the existence of that vertex ?
>>7663374
>I haven't taken calc III yet
>>7663344
take derivative and set to 0
Can you post an image of a 4D paraboloid's projection to 3D?
>vertex
is that what kids call critical points/stationary points nowadays?
>>7663445
Yes and I don't think you just set derivative to zero I remember there being some other way.
>>7663431
I can't find one.
>>7663535
You're talking about completing the square. Impossible to find a general solution for n>4, because this is equivalent to deriving a quadratic/cubic/etc. formula.
Wait, under which form is the paraboloid given to you?
>>7663660
I am looking for the general solution
>>7663344
its [math]t^{r^{i^{v^{i^{a^{l}}}}}}[/math]
>>7665270
oh for christ sakes
