Sage 5.4.1 running under Oracle VM on Windows 8.
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 + 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 symbolic matrix?  Thanks much, mahlon

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