  We show, in two different ways, that the Tsallis' partition function and its
derivatives are related to thermodynamic quantities such as entropy, internal
energy, etc., in the same way as in Boltzmann-Gibbs' formalism, with the
Lagrange multiplier $\beta^{BG}$ replaced by its value $\frac{1}{k_BT}$. They
are obtained within the finite heat bath canonical ensemble approach.
Furthermore, we discuss the meaning of the Lagrange multiplier of the
generalized framework, $\beta^T$, and show that the entropy found here is just
the R\`enyi entropy plus a definite constant.
