Chain rule with abstract functions?



Thanks for that.  I've just discovered that "depends" works:

depends(y,x);
depends(f,[x,y]);
diff(f,x);

Alasdair


On Sat, Jun 1, 2013 at 1:49 AM, Leo Butler
<l_butler at users.sourceforge.net>wrote:

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>    Something similar may have been asked before, but anyway... is there a
> way
>    to coerce Maxima to differentiate, say f(x,y(x)) with respect to x, and
>    produce
>
>    D(f)(x) + f.D(f)(y) ?
>
>    Or to differentiate f(y(x)) and produce
>
>    D(f)(y).D(y)(x) ?
>
>    Thanks.
>
> Option 1.
> load('pdiff);
>
> Option 2.
> Use diff and subst:
>
> subst([del(x)=1, del(y)='diff(y,x)], diff(f(x,y)));
>
> Leo
>



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