AFAIK, general Fréchet derivatives aren't available in any computer
algebra system.  You would have to hand roll something to expand the
chain rule.  Generally, the existence of such a derivative isn't
available.  For fun I tried your example in Mathematica and even there
you get a recursion limit error.

-- Andy

On Sat, Oct 30, 2010 at 7:16 AM, Philippe <[email protected]> wrote:
> Hi,
>
> I am new to sympy.
> I try to derive an equation of that form: T = k * x'
> x if a function of time ; x = f(t)
> x' is diff(x, t)
>
> I would like to get
> T2 = diff(T, x')
> T3 = diff(T2, t)
>
> Is it possible ?
> I checked the documentation, but couldn't find a way to do that.
>
> Thanks for helping !
> Philippe
>
> PS: I try to get it with
> T = m * f(t)
> print diff(T, f(t))
> does not work :/
> ValueError: Invalid literal: f(t) is not a valid variable
>
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