$(2)$ Given the multilayer neural network in Figure $1,$ find the updated weight of W$24$ after the example x$1=1,$x$\_(2)=1$ is processed and for which the target output is O$=0$ and O$6=1$ respectively. The initial weights are W$13=0\mathrm{.}4,$W$14=0\mathrm{.}4,$W$23=-0\mathrm{.}3,$ W$22=0\mathrm{.}5,$ W $35=0\mathrm{.}3,$ W $36=-0\mathrm{.}4,$ W $45=0\mathrm{.}4,$W$46=0\mathrm{.}6,$W$03=0\mathrm{.}1,$ W$04=0\mathrm{.}2,$ W$05=0\mathrm{.}3$ W$06=-0\mathrm{.}3.$ Assume the learning rate is $0\mathrm{.}9$