#10982: symbolic derivatives should be able to have non-variable arguments
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Reporter: casamayou | Owner:
burcin
Type: defect | Status: new
Priority: minor | Milestone:
sage-5.1
Component: calculus | Resolution:
Keywords: simplify, maxima, symbolic derivative | Work issues:
Report Upstream: N/A | Reviewers:
Authors: | Merged in:
Dependencies: | Stopgaps:
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Comment (by nbruin):
Replying to [comment:8 dsm]:
> D[0, 0](f)(r, t) + D[1, 1](f)(r, t)
Wow, Sage before 4.6 was just plain wrong. We'll excuse casamayou, since
superficially it looks like what one would sloppily write in a calculus
book (the coordinate transformation implicitly assumed).
The formula for d is the expression for the laplacian in polar
coordinates, so it should be equal to
{{{
(diff(f,x,x)+diff(f,y,y)).subs(x=r*cos(t),y=r*sin(t))
}}}
which is what 5.0 verifies.
I'm pretty sure #12796 fixed this, since this kind of computation was the
point of that ticket.
I think this ticket can be closed. Add a doctest if you think the current
tests are insufficient.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10982#comment:9>
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