Science:Math Exam Resources/Courses/MATH105/April 2012/Question 07 (b)/Statement

Consider

$\displaystyle f(x,y)=xye^{y}+{\frac {1}{2}}x^{2}-2.$

(b) Classify each critical point you found in part (a) as a local maximum, a local minimum, or a saddle point of ƒ(x,y).