Hello, I'm trying to construct a function f from R^2 -> R where f is everywhere differentiable, doesn't have a local min at 0 but if I restrict the domain of f to any line through the origin, 0 will be a (strict) min at that point..(adsbygoogle = window.adsbygoogle || []).push({});

I've been fooling around with this, but I don't really have any good strategies for figuring out how to make this function. Any tips? thank you

**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!

# A function that doesn't have a max/min in general, but does when restricted

Loading...

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