You could try something like this:
sage: f = function('foo')
sage: g = function('goo')
sage: diff(f(x)*g(x),x)
foo(x)*diff(goo(x), x, 1) + goo(x)*diff(foo(x), x, 1)
On 5/9/07, Timothy Clemans <[EMAIL PROTECTED]> wrote:
>
> The calculus package fails on all of the following general forms. I
> used sagenb.com and a clean worksheet.
>
> {{{
> diff(c)
> ///
> 1
> }}}
>
> {{{
> diff(c*f(x))
> ///
> Traceback (most recent call last):
> File "<stdin>", line 1, in <module>
> File
> "/home/server2/sage_notebook/worksheets/timothycalculus______/code/2.py",
> line 4, in <module>
> exec compile(ur'diff(c*f(x))' + '\n', '', 'single')
> File "/home/server2/sage_notebook/worksheets/timothycalculus______/",
> line 1, in <module>
>
> File "/sage/local/lib/python2.5/site-packages/sage/calculus/functional.py",
> line 45, in derivative
> return f.derivative(*args, **kwds)
> File "/sage/local/lib/python2.5/site-packages/sage/calculus/calculus.py",
> line 1062, in derivative
> "expression containing more than one variable"
> ValueError: must supply an explicit variable for an expression
> containing more than one variable
> }}}
>
> {{{
> diff(f(x)+g(x))
> ///
> 2
> }}}
>
> {{{
> diff(f(x)-g(x))
> ///
> Traceback (most recent call last):
> File "<stdin>", line 1, in <module>
> File
> "/home/server2/sage_notebook/worksheets/timothycalculus______/code/4.py",
> line 4, in <module>
> exec compile(ur'diff(f(x)-g(x))' + '\n', '', 'single')
> File "/home/server2/sage_notebook/worksheets/timothycalculus______/",
> line 1, in <module>
>
> File "/sage/local/lib/python2.5/site-packages/sage/calculus/functional.py",
> line 45, in derivative
> return f.derivative(*args, **kwds)
> File "/sage/local/lib/python2.5/site-packages/sage/calculus/calculus.py",
> line 1062, in derivative
> "expression containing more than one variable"
> ValueError: must supply an explicit variable for an expression
> containing more than one variable
> }}}
>
> {{{
> diff(f(x)*g(x))
> ///
> 2*x
> }}}
>
> {{{
> diff(f(x)/g(x))
> ///
> Traceback (most recent call last):
> File "<stdin>", line 1, in <module>
> File
> "/home/server2/sage_notebook/worksheets/timothycalculus______/code/6.py",
> line 4, in <module>
> exec compile(ur'diff(f(x)/g(x))' + '\n', '', 'single')
> File "/home/server2/sage_notebook/worksheets/timothycalculus______/",
> line 1, in <module>
>
> File "/sage/local/lib/python2.5/site-packages/sage/calculus/functional.py",
> line 45, in derivative
> return f.derivative(*args, **kwds)
> File "/sage/local/lib/python2.5/site-packages/sage/calculus/calculus.py",
> line 1062, in derivative
> "expression containing more than one variable"
> ValueError: must supply an explicit variable for an expression
> containing more than one variable
> }}}
>
> {{{
> diff(f(g(x)))
> ///
> 1
> }}}
>
> {{{
> diff(x^n)
> ///
> Traceback (most recent call last):
> File "<stdin>", line 1, in <module>
> File
> "/home/server2/sage_notebook/worksheets/timothycalculus______/code/8.py",
> line 4, in <module>
> exec compile(ur'diff(x**n)' + '\n', '', 'single')
> File "/home/server2/sage_notebook/worksheets/timothycalculus______/",
> line 1, in <module>
>
> File "/sage/local/lib/python2.5/site-packages/sage/calculus/functional.py",
> line 45, in derivative
> return f.derivative(*args, **kwds)
> File "/sage/local/lib/python2.5/site-packages/sage/calculus/calculus.py",
> line 1062, in derivative
> "expression containing more than one variable"
> ValueError: must supply an explicit variable for an expression
> containing more than one variable
> }}}
>
> >
>
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