### Related

##### hessian

hessian((x^4+y^2),[x,...

Calculate

##### hessian

hessian ((x^3*y-x*y^3...

Calculate

##### hessian

hessian(x^2*ln(x/y)/v...

Calculate

##### hessian

a=[1,-1,2];

x0 = [1.1,-1.2,2.1];

f(x,y,z):=(2*x^2 + 3*...

Calculate

##### hessian

hessian((x^3+a*x+y^2+...

Calculate

##### hessian

hessian( x^2 + y^2 , ...

Calculate

##### hessian-invert-log

hessian((log(1 + ((lo...

invert(hessian((a*x^2...

Calculate

##### hessian

hessian (x^5-3*x^2*y+...

Calculate

##### hessian

hessian (100*(y+x^2)^...

Calculate

##### hessian

hessian(x+y+z,[x,y,z]);

hessian(a*x^2 + b*x*y...

hessian(y3*(a6*y3+a5*...

Calculate

### hessian

Run Example
```(%i1)factor(determinant(hessian(x*x/(v*(c-w*v)^a),[w,v])));
4
2 a (a + 1) (a v w + v w - c) x
(%o1)                  --------------------------------
2          2 a          3
v  (c - v w)    (v w - c)
(%i2) ```
Run Example
```hessian (3*x^3+2*y^2, [x, y]);
[ 18 x  0 ]
(%o1)                             [         ]
[  0    4 ]
(%i2) ```
Run Example
```hessian (y + x^2/(x*y-1), [x, y]);
[                            2  2         3             2    ]
[    2        4 x y       2 x  y       2 x  y        3 x     ]
[ ------- - ---------- + ----------  ---------- - ---------- ]
[ x y - 1            2            3           3            2 ]
[           (x y - 1)    (x y - 1)   (x y - 1)    (x y - 1)  ]
(%o1)   [                                                            ]
[           3             2                      4           ]
[        2 x  y        3 x                    2 x            ]
[      ---------- - ----------             ----------        ]
[               3            2                      3        ]
[      (x y - 1)    (x y - 1)              (x y - 1)         ]
(%i2) derivative (y + x^2/(x*y-1), x);
2
2 x        x  y
(%o2)                        ------- - ----------
x y - 1            2
(x y - 1)
(%i3) ```

### Related Articles

How to create Hessian matrix

Help for Hessian