Computation of d(g(u,z))

In the section we will compute d(g(u,z)) in the same maner used in the previous section. The assumption that d(-1)=0 is carried over from the previous section and the fact that (-1)^p = -1 is also applied here. The result is then named dg.

> d(z^2):=multp(z,z);

> d(z^3):=multp(z^2,z);

> d(-u):=multp(-1,u);

> d(-u*z^2):=multp(-u,z^2);

> d(-u*z^2*c1):=multp(-u*z^2,c1);

> d(-z^3*c2):=multp(z^3,-c2);

> d(u^2):=multp(u,u);

> d(-u^3):=multp(-u,u^2);

> d(z-u^3):= addp(z,-u^3);

> d(-u*z^2*c1 - z^3*c2):=addp(-u*z^2*c1,-z^3*c2);

> g(u,z);

> dgtemp:=addp(z-u^3,-u*z^2*c1 - z^3*c2);

> dg:=subs((-1)^p = -1,simplify(dgtemp,power,symbolic));

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