use richardson extrapolation to estimate the first derivative y=ln(x), x=5 using steps of 2, 1, 0.5. Four decimal points. obtain true relative error for the last estimate and comment on its value.
The Attempt at a Solution
I know for step sizes of h and h/2 the formula is...
f'(x)=1/3 [ 4*[f(x+h/2)/h-f(x-h/2)/h] - f(x+h)/h-f(x-h)/h] + O(h^4)
but if im using steps h, h/2, h/4 the formula should be different, right?
or do you run the first step to find an approximation, then run it again using the next step?
Any help is appreciated!