Find a more accurate formula for f'(t) using method of undetermined coefficient. Let's say the formula is of the form
f'(t) = A f (t+2h) + B f (t+h) - B f (t-h) - A f (t-2h)
Find the values of A and B such that error is minimized. What power of h is the error proportional to. Use the formula to find d/dx sin(x) at x =pi/3.
How would i go about starting this problem?