Basic Examples 
(2)
 

Compute a Hessian determinant:
In[14]:=
[◼]
HessianDeterminant
[Sin[x]Cos[y],{x,y}]
Out[14]=
1
2
(-Cos[2x]+Cos[2y])
———
Compute another Hessian determinant:
In[22]:=
[◼]
HessianDeterminant
[x^3-2xy-y^6,{x,y}]
Out[22]=
-4(1+45x
4
y
)