Question #2339

Find a more accurate formula for f '(t) using method of undetermined coefficient. Let's say
formula is of the form
f0(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 this formula to d/dx sin(x) at x = pi=3. Tabulate errors for different values of h.

Expert's answer

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