% generated: 25 October 1989 % option(s): % % (deriv) ops8 % % David H. D. Warren % % symbolic derivative of (x+1)*((^(x,2)+2)*(^(x,3)+3)) top :- ops8, log10, divide10. ops8 :- d((x+1)*((^(x,2)+2)*(^(x,3)+3)),x,_). log10 :- d(log(log(log(log(log(log(log(log(log(log(x)))))))))),x,_). 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).