- #1

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i just got a short question about definition if i got an implicitly defined function g(x,y,z) = 0 and then be asked whether g hast stationary points.

How to answer that intuitively i´d say no g = 0 = constant hence no stationary points but if i do grad(g) = ( 0,0,0) i get stationary points.

So what´s the answer for this ?

And if it´s the grad(g) thing how to interpret that kind of stationary point geometricaly.

Thanks and bye :)