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?

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