Wikipediajacobian(f)
Returns the Jacobian of function f in Cartesian coordinates. Function f maps Rn into Rm.
See also partial divergence laplacian curl
Example
f(x1,x2,x3)=(x1,5*x3,4*x2^2-2*x3, x3*sin(x1))
f(x1,x2,x3)=(x1,5*x3,4*x2^2-2*x3, x3*sin(x1))
J=jacobian(f)
J(x1, x2, x3) = ( 1, 0, 0 ; 0, 0, 5 ; 0, 8*x2, -2 ; cos(x1)*x3, 0, sin(x1) )