  We determine all algebraic relations among all hyperderivatives of the
periods, quasi-periods, logarithms, and quasi-logarithms of Drinfeld modules
defined over a separable closure of the rational function field. In particular,
for periods and logarithms that are linearly independent over the endomorphism
ring of the Drinfeld module, we prove the algebraic independence of their
hyperderivatives and the hyperderivatives of the corresponding quasi-periods
and quasi-logarithms.
