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hello and welcome to the final video of the root finding method Series in this video we will learn about the secant and modified secant methods previously we saw that the Newton rapson formula requires the derivative of a function evaluating which can be a challenge for some functions the second method solves this problem by approximating the derivative in the Newton rson formula by a backward finite difference which leads to this iterative equation as you can see we now need to guess at I -1 and at I to compute the estimate at I + 1 however this is not a bracketing method since since there is no sign change requirement for the function between these two guess values we can further modify this to use an initial guess and a perturbation parameter this leads to the modified secant formula now letamp;#39;s see how we Implement these two methods in Python letamp;#39;s look at the function calls for the secant and modified secant methods the secant method requires the two initial guesses