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% generated: 7 March 1990
% option(s):
%
% (deriv) divide10
%
% David H. D. Warren
%
% symbolic derivative of ((((((((x/x)/x)/x)/x)/x)/x)/x)/x)/x
top:-divide10.
divide10 :- d(((((((((x/x)/x)/x)/x)/x)/x)/x)/x)/x,x,_).
d(U+V,X,DU+DV) :- !,
d(U,X,DU),
d(V,X,DV).
d(U-V,X,DU-DV) :- !,
d(U,X,DU),
d(V,X,DV).
d(U*V,X,DU*V+U*DV) :- !,
d(U,X,DU),
d(V,X,DV).
d(U/V,X,(DU*V-U*DV)/(^(V,2))) :- !,
d(U,X,DU),
d(V,X,DV).
d(^(U,N),X,DU*N*(^(U,N1))) :- !,
integer(N),
N1 is N-1,
d(U,X,DU).
d(-U,X,-DU) :- !,
d(U,X,DU).
d(exp(U),X,exp(U)*DU) :- !,
d(U,X,DU).
d(log(U),X,DU/U) :- !,
d(U,X,DU).
d(X,X,1) :- !.
d(_,_,0).
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