I want answer in MATLAB code, not other language. Also, please don't copy answer from another answer, because I already tried another answers and they are wrong.

Test the secant method on an example in which r, f'(r), and f"(r) are known in advance. Monitor the ratios en+1/(enen-1) to see whether they converge to If"(r)/f,(r). The function f(x) = arctan x is suit- able for this experiment. Test the secant method on an example in which r, f'(r), and f"(r) are known in advance. Monitor the ratios en+1/(enen-1) to see whether they converge to If"(r)/f,(r). The function f(x) = arctan x is suit- able for this experiment