1. For ( g(x, y)=x^{4}+y^{4}+2 x^{2} y^{2}-2 x^{2}+y^{3} ), find the local extrema and the saddle points. If the second derivative test does not allow to conclude, say it. Show all steps.
2. Find and classify the critical points of ( f(x, y)=frac{3}{2} x^{2}+x^{3}+3 y^{2} ) (that is, say which is a local minimum, local maximum, or a saddle point). Then, find the global minimum and global maximum of this same function ( f ) on the disk ( x^{2}+y^{2} leq 4 ), and the points where they occur.