I am reading this paper https://papers.nips.cc/paper/4329-practical-variational-inference-for-neural-networks.pdf and I cannot see where the first part of the partial derivative for equations 7 and 8 go. Here is equation 7 from the paper.
$$ L^C(\mathbf{\alpha}, \mathbf{w}) = W\ln2b + \frac{1}{b} \sum_{i=1}^W |w_i - \mu| + C \implies \frac{\partial L^C(\mathbf{\alpha}, \mathbf{w})}{\partial w_i} = \frac{sgn(w_i - \mu)}{b} $$
Shouldn't there be a leftover term $\ln2b$ as a result of the derivative of the first term on the RHS?