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hessian

hessian (x^3-x+0.1, [...

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hessian

hessian(-0.0053*x1 - ...

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hessian

hessian(x^3+x^2,[x]);

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hessian

hessian (x*y*z, [x,y,...

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hessian

hessian ( -3*(x*x)+(-...

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hessian

hessian (2*x^3+y^3-6*...

hessian (F, [a, b]);

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hessian-invert-log-matrix

m: hessian(-4*x-5*y-1...

x:5;

y:10;

Calculate

hessian-log-subst

f:(1-y**2)*log(1-x*y);

h: hessian(f,[x,y]);

subst(0.5,x,h);

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hessian

hessian ((x-1)*(x^2-y...

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hessian

hessian (x * y, [x, y]);

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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 Help

Help for Hessian