1. The problem statement, all variables and given/known data Function f(x) = x^2/(x-1) should be expanded by Taylor method around point x=2 and 17th order derivative at that point should be calculated. 2. Relevant equations Taylor formula: f(x)=f(x0)+f'(x0)*(x-x0)+f''(x0)*(x-x0)^2+.... 3. The attempt at a solution I expand this function by the given formula. However, the problem is that it is tedious work to get 17th order derivative by simply differentiating the function 17 times! I can't imagine any other method. Any suggestion, please?