$($i$)$ Derive the secant root$-$finding formula for the problem f$($x$)=0.$ For this method, you use the previous guess for the root x$\_($i$-1)$ and the current guess x$\_($i$)$ to compute the next guess x$\_($i$+1).($ii$)$ You would like to determine the value of $64^((1)/(4))$ using the Newton$-$Raphson algorithm. Derive the iteration formula to achieve this. Note: there is no need to write an algorithm or a pseudocode; the derivation is sufficient.