Prove the second-order formula for f(r+3h) + 8f(r) f''(r) = 9f(r - h) + O(h^2) . 12h
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Step 1
First, we can use Taylor's theorem to expand f(r+3h) and f(r-h) around r: f(r+3h) = f(r) + 3hf'(r) + 9h^2/2 f''(r) + O(h^3) f(r-h) = f(r) - h f'(r) + h^2/2 f''(r) + O(h^3) Show more…
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