Wikipediajacobiant(f)
Returns the Jacobian of function f ignoring the partial with respect to "t".
See also partial divergence laplacian curl
Example
f(x,y)=(x*sin(y), -x*y)
f(x,y)=(x*sin(y), -x*y)
J = jacobian(f)
J(x, y) = ( sin(y), cos(y)*x ; -y, -x )
Jt = jacobiant(f)
Jt(x, y) = ( sin(y), cos(y)*x ; -y, -x )
g(x,y,t) = (x*sin(y)*t, -x*y+t*t)
g(x,y,t) = (x*sin(y)*t, -x*y+t*t)
G = jacobian(g)
G(x, y, t) = ( sin(y)*t, cos(y)*t*x, sin(y)*x ; -y, -x, 2*t )
Gt = jacobiant(g)
Gt(x, y, t) = ( sin(y)*t, cos(y)*t*x ; -y, -x )