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hessian

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

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hessian-log-matrix

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

b: matrix([340/225, 1...

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hessian

hessian((1-x)^2 + (10...

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hessian

f(x,y,z) := z*e^(x/y);

m = hessian(f(x,y,z),...

m*[1,1,1];

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hessian-integrate

f1(t):= 2*c + 6*d*t +...

fun(t):= integrate(f1...

H : hessian(fun(t),[a...

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hessian( (x/(y+z+1)+y...

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hessian

hessian (x^3*y^2, [x,...

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hessian

f(x,y,z) := z*e^(x/y);

m = hessian(f(x,y,z),...

m*[1,1,1];

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 Help

Help for Hessian