Hi(adsbygoogle = window.adsbygoogle || []).push({});

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 :)

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Stationary Points of an implicitly defined function?

**Physics Forums | Science Articles, Homework Help, Discussion**