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Final expressions for the biases of the hidden layer

For the sake of completeness, we list the derivatives of the biases, which are

\frac{\partial C}{\partial b_{1}^{(1)}}=\delta_1^{(1)},

and

\frac{\partial C}{\partial b_{2}^{(1)}}=\delta_2^{(1)}.

As we will see below, these expressions can be generalized in a more compact form.