Calculates the root of a function given an initial value and a function to calculate its derivatives.
f_root(f, df, start, tol = 1e-08, n.max = 1000)A list containing:
root vector: The solution for the system f(x)=0.
f.root vector: The function f evaluated at the root.
iter numeric: The number of steps taken.
function: A function that receives a vector and return a vector of the same size.
function: A function that receives a vector and return the derivatives of f with respect to its arguments (if f returns a vector, it must be a matrix).
vector: The initial value to start the algorithm.
numeric: The tolerance for the solution.
numeric: The maximum number of iterations allowed.