Equations (4.51) through (4.53) define the partial derivatives of the approximating function F(w, x) realized by the multilayer perceptron in Fig. 4.14. Derive these equations from the scenario described by the following conditions:
(a) Cost function:
(b) Output of neuron j:
Where is the synaptic weight from neuron i to neuron j, and i is the output of neuron i;
(c) Nonlinearity:
Fig. 4.14
