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