On Sun, Jun 19, 2011 at 7:34 PM, Renato Coutinho
<[email protected]>wrote:

> On Sun, Jun 19, 2011 at 9:30 PM, Chris Smith <[email protected]> wrote:
> >
> >
> > On Sun, Jun 19, 2011 at 7:05 PM, Renato Coutinho <
> [email protected]>
> > wrote:
> >>
> >> Hello,
> >>
> >> On Sun, Jun 19, 2011 at 3:51 PM, Mani Chandra <[email protected]> wrote:
> >> > Hi,
> >> > Is it possible to tell simplify that the partial derivatives with
> >> > respect to
> >> > two different variable commute so that it can simplify further? For
> ex:
> >> > d^2 f/dxdy + d^2 f/dydx
> >> > The above expression is left as it is by simplify(), but it would be
> >> > nice if
> >> > there were some way to tell it about the commutation so that it can
> >> > simplify
> >> > further.
> >>
> >> This is fixed in current development version, so that
> >>
> >> >>> f(x, y).diff(x, y) - f(x, y).diff(y, x)
> >> 0
> >>
> >> If you don't want this to happen, you have to use unevaluated
> >> derivatives (diff() always evaluates them):
> >>
> >> >>> Derivative(f(x, y), x, y) - Derivative(f(x, y), y, x)
> >> D(f(x, y), x, y) - D(f(x, y), y, x)
> >>
> >
> > Notice that he used "+" not "-" -- does he want `2*D(f(x,y), x, y)` to be
> > returned?
>
> Yes, I think that's what he meant, and it works too, returning
> 2*D(f(x, y), x, y).
>
> Then, Mani, it would be good if you showed the actual input (not ASCII
math) for what you entered and what you got. Just copy and paste like Renato
did in his examples.

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