What are the values and types of the critical points, if any, of #f(x,y)=y^2-x^2+3x-sqrt(2xy-4x)#?
1 Answer
A saddle point at
Explanation:
Given
The stationary points are found solving
or
Whose real solution(s) is
The qualification is made calculating the Hessian matrix in this point.
so
with characteristic polynomial
with roots
The roots are non null with oposite signs so the stationary point found, is a saddle point.