#6756: [with patch, needs review] Implement ``diff`` format symbolic derivative 
in
new symbolics
----------------------------+-----------------------------------------------
 Reporter:  gmhossain       |       Owner:                       
     Type:  enhancement     |      Status:  new                  
 Priority:  major           |   Milestone:                       
Component:  symbolics       |    Keywords:                       
 Reviewer:  Nick Alexander  |      Author:  Golam Mortuza Hossain
   Merged:                  |  
----------------------------+-----------------------------------------------

Comment(by burcin):

 Replying to [comment:11 gmhossain]:
 >   (2) I don't think even D[] derivative output is much better in this
 regard, specially if you implement and allow substitution of f(y,y). For
 example. consider the substitution: f(y,y) = y in "D[0](f)(y, y) +
 D[1](f)(y, y)", then you will get the same wrong answer from D[] as from
 "diff".

 This substitution doesn't make sense mathematically. D[0](f)(y,y) doesn't
 contain f(y,y), there is nothing to substitute.

 Bill Page had answered this point earlier:

 http://groups.google.com/group/sage-devel/msg/e6ded8f5e28a5aab

 This message by him in the same thread might be more helpful:

 http://groups.google.com/group/sage-devel/msg/98cc070640578f0c


 Note that with these patches, the result of `f(y,y).diff(y)` is twice that
 of the current implementation.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6756#comment:12>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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