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Partial derivative of $γ^o$ with respect to $τ$

Values for calculation

$n^o_i$
$J^o_i$
$τ$
$\text{Region}$

Calculation

Partial derivative of $ γ^o $ with respect to $ τ $

$\text{if }\ \text{Region}= 2$
$$γ^o_τ=\sum_{i=1}^{9}{n^o_i\cdot J^o_i\cdot τ^{J^o_i-1}}$$
$\text{else if }\ \text{Region}= 5$
$$γ^o_τ=\sum_{i=1}^{6}{n^o_i\cdot J^o_i\cdot τ^{J^o_i-1}}$$
$\text{else}$
$$γ^o_τ=0$$