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Derivative of $γ^r$ with respect to the dimensionless pressure $π$

Values for calculation

$n_i$
$I_i$
$π$
$τ$
$J_i$
$\text{Region}$

Calculation

Derivative of $ γ^r $ with respect to the dimensionless pressure $ π $

$\text{if }\ \text{Region}= 2$
$$γ^r_π=\sum_{i=1}^{43}{n_i\cdot I_i\cdot π^{I_i-1}\cdot\left(τ-0.5\right)^{J_i}}$$
$\text{else if }\ \text{Region}= 5$
$$γ^r_π=\sum_{i=1}^{6}{n_i\cdot I_i\cdot π^{I_i-1}\cdot τ^{J_i}}$$
$\text{else}$
$$γ^r_π=0$$