Explain the steps on how to solve the problem below:
A) Consider a variation of Newton’s method in which only one derivative is needed; that is xn+1=xn-f(xn)/f′(x0).Find C and s such that en+1=Cesn.
B) Find the conditions on α to ensure that the iteration xn+1=xn-af(xn) will converge linearly (en+1≈ 1/2 en) to a zero of f if started near the zero.