In: Mechanical Engineering
Derive the 2nd order accurate finite difference approximation for the 1st derivative of a function at the data point Xo. That is, find the coefficients a, b, c such that: af(Xo) + bf(X1) + cf(X2) = f'(Xo) + O(h^2). (Note: there is a prime sign on the f'(Xo) at the right side)