

IntroductionWe discuss ways to compute derivatives on a spreadsheet, with emphasis on repeating the symmetric approximation with exponentially decreasing d and extrapolating the results. Topics7.1 Introduction: the Obvious Approximation: f'(x) ~ (f(x+d)  f(x))/d 7.2 Round off Errors and the Derivative 7.3 The Symmetric Approximation: f'(x) ~ (f(x+d)  f(xd)/(2d) 