| Tip |
| The partial derivatives of z are very important because they are used to find the PNN weights during training. The figure below shows the output of a PNN when the m input case is applied. |

| Problem 1 |
| Proof the zmi is equal to one when m is equal to i. |
| Problem 2 |
| Proof that the partial derivative of zmi with respect to the weight wr is given as follows. |
