Function Repository Resource:

HessianDeterminant

Compute the Hessian determinant of a function with respect to a list of variables

Contributed by: Wolfram|Alpha Math Team

ResourceFunction["HessianDeterminant"][expr,{var₁, var₂, …}]

computes the determinant of the Hessian matrix of the expression expr with respect to the given variables.

Examples

Compute a Hessian determinant:

In[1]:=

Out[1]=

Compute another Hessian determinant:

In[2]:=

$ResourceFunction["HessianDeterminant"][x^3 - 2 x y - y^6, {x, y}]$

Out[2]=