Consider the $3-$Layer Feedforward Network below:with$1--$mwhere o$(.)$ si the logistic $($i$.$e$.$ sigmoid$)$ function.Given that f$=$ wlaf $+$wall; evaluate:, $1$f $($x$)$ ; and$2/2)$b$)$Note:any of the terms are unlikely ot be attained. However, you must be consistentthroughout$\mathrm{.}2$ For sigmoid function derivative, if$($x$)=-\mathrm{.}3$ fI y$($x$)$ and z$($x$)$ are functions of x$,$ then one may writeWrite down the actual Utility of each path for both cases $($a$)$ and $($b$).$ Answers incorrectupto integer$-$level accuracy $($i$.$e$.$ to left of decimal point$),$ wil lose half the marks$\mathrm{.}12$For the derivation, you may express any $"$ I simply as J$\text{'},$ as higher powers ofMarks:$20$a$1$ Remember that weights $\text{'}$w$\text{'}$ and inputs $\text{'}$x$\text{'}$ are independent variables ni this feedforward network, while other variables are functions of these.