The secant method always converges faster than bisection method

The number of iterations in the secant method is always less than if the Newton-Raphson method is used

Secant method is a recursive method for finding the root for the polynomials by successive approximation

One initial guess and a perturbation is required to begin the algorithm

Midpoint is calculated to determine the root estimate

Exact derivative of the function is required

Derivative is approximated using a chord

The value of the initial guess is insignificant to whether the process convergences on a final answer.

If the gradient to the curve at the initial guess is f’(x) = 0, then we cannot use the Newton-Raphson method.

When the value of f(x) is "close enough" to zero, the iteration process is stopped and the resulting value of x is the estimate of the root.

Only bisection can determine the root

Only false position can determine the root

Neither bisection or false position can determine the root

Both bisection and false position can determine the root

Two initial guesses are required, x_l and x_u

It requires evaluation of the function's first derivative only

It requires evaluation of the function's first and second derivatives

A perturbation factor is required

The method will not find any root at all for equations that have multiple roots

Requires a root to be at a turning point

Is faster than the Newton-Raphson method

Converges within a few iterations

Guaranteed to work for all continuous functions if requirements are met