#function [diff] = difference_quotient(f,x,h) # Accompanying program for the text # # Classical and Modern Numerical Analysis: # Theory, Methods and Practice # by Azmy S. Ackleh, Edward J. Allen, # R. Baker Kearfott, and Padmanabhan Seshaiyer # # (Taylor and Francis / CRC Press, 2009) # # # difference_quotient (f,x,h) returns the forward difference quotient of # f at x with stepsize h, as in formula (6.1), page 323 of the text. def difference_quotient(f,x,h): return ( f(x+h) - f(x) )/h