  A derivative of an algebraically slice knot $K$ is an oriented link
disjointly embedded in a Seifert surface of $K$ such that its homology class
forms a basis for a metabolizer $H$ of $K$. We show that for a genus three
algebraically slice knot $K$, the set $\{
\bar{\mu}_{\{\gamma_1,\gamma_2,\gamma_3\}}(123) -
\bar{\mu}_{\{\gamma'_1,\gamma'_2,\gamma'_3\}}(123)|
\{\gamma_1,\gamma_2,\gamma_3\}$ and $\{\gamma'_1,\gamma'_2,\gamma'_3\}$ are
derivatives of $K$ associated with a metabolizer $H\}$ contains $n\cdot
\mathbb{Z}$ where $n$ is determined by a Seifert form of $K$ and a metabolizer
$H$. As a corollary, we show that it is possible to realize any integer as a
Milnor's triple linking number of a derivative of the unknot on a fixed Seifert
surface with a fixed metabolizer. In addition, we show that a knot, which is a
connected sum of three genus one algebraically slice knots, has at least one
derivative which has non-zero Milnor's triple linking number.
