diff(3) should be 0 but in SAGE it is an error. Shouldn't c be a
constant by default in SAGE, since many math textbooks use it as one?
{{{
f = function('f')
g = function('g')
view(diff(f(x)*g(x)))
///
<html><span class="math">{{\rm f}(x) \cdot {\rm diff}({\rm g}(x), x,
1)} + {{\rm g}(x) \cdot {\rm diff}({\rm f}(x), x, 1)}</span></html>
}}}
It should be f''(x) + g'(x)
> In general, we can't provide a general purpose programming language
> (and SAGE is one) and avoid this kind of thing. I think the real
> concern should be whether this aspect conflicts too badly with the
> desire to provide a sort of "calculus calculator" for the mathematics
> fan who has no interest in, or ability for, programming (and
> therefore will not understand the import of some of his typing until
> after his computations blow chunks...).
I think a calculus calculator where one could type in anything from a
standard calculus book and get the standard answer would be kind of
cool, but this is not important right now. The most important feature
wanted related to this is a way to see all the steps to solving some
calculus problem.
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