Check saddle point

Dec 2015
22
0
Spain
Is there a way to check if a saddle point I calculated in a three variable function is OK?

The function is f(x,y,z)=(x+z^2)e^(x(y^2+z^2-1)) and I got a saddle point in x=1, y=0, z=0. f(1,0,0)=1/e
 

chiro

MHF Helper
Sep 2012
6,608
1,263
Australia
Hey MakezHD.

You should find the Jacobian and Hessian and use that to verify.