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Sage 5.4.1 Hi, I got the following code that does total differentiation off a Sage blog:

x, y, z = var('x, y, z')

U = CoordinatePatch((x, y, z))

F = DifferentialForms(U)

f = F(x^2 + y + sin(z)); f

g = f.diff(); g
cos(z)dz + 2x*dx + dy

How do I convert g to a symbolic form where dx, dy, and dz are also symbolic variables? I need to assign values to all variables via a for loop. Also, is it possible for g to be a 3x3 matrix? Thanks much, mahlon

Sage 5.4.1 [Sage 5.4.1] Hi, I got the following code that does total differentiation off a Sage blog:

x, y, z = var('x, y, z')
 
z')
U = CoordinatePatch((x, y, z))
 
z))
F = DifferentialForms(U)
 
DifferentialForms(U)
f = F(x^2 + y + sin(z)); f
 
f
g = f.diff(); g 
  cos(z)dz cos(z)*dz + 2x*dx 2*x*dx + dydy

[Sage 5.4.1] Hi, I got the following code that does total differentiation off a Sage blog:

sage: x, y, z = var('x, y, z')
sage: U = CoordinatePatch((x, y, z))
sage: F = DifferentialForms(U)
sage: f = F(x^2 + y + sin(z)); f
(x^2 + y + sin(z))
sage: g = f.diff(); g         
g
cos(z)*dz + 2*x*dx + dy

How do I convert g to a symbolic form where dx, dy, and dz are also symbolic variables? I need to assign values to all variables via a for loop. Also, is it possible for g to be a 3x3 matrix? Thanks much, mahlon