})^2}\]</span> <span class="math display">\[\frac{\partial g(\boldsymbol{\beta})}{\partial \beta_{1}} =  \frac{-z_{1} e_{1}( 1 + e_{0}) + z_{0} e_{0}(1 + e_{1})  }{(1 + e_{1})^2 }\]</span> For any <span class="math inline">\(j = 2,3,\ldots, p\)</span> where <span class="math inline">\(X_{j}\)</span> is a covariate of which effect is associated with <span class="math inline">\(\beta_{j}\)</span>: <span class="math display">\[\frac{\partial g(\boldsymbol{\beta})}{\partial \beta_{j}} = \frac{x_{j}(e_{0} - e_{1