Once upon a time, if you wanted to find the square root of a number c c you would use the formula xn+1=12(xn+cxn) x n + 1 = 1 2 ( x n + c x n ) where x0 x 0 would be a first guess (usually somewhere near c c ). Use Newton's Method to derive this formula. (Hint: Consider the function f(x)=x2c f ( x ) = x 2 c )