Question: The forward-difference formula can be expressed as f(x0) = 1/h[f (x0 + h) f (x0)] - h/2f''(x0) - h2/6 f'''(x0) + O(h3). Use extrapolation

The forward-difference formula can be expressed as f(x0) = 1/h[f (x0 + h) − f (x0)] - h/2f''(x0) - h2/6 f'''(x0) + O(h3). Use extrapolation to derive an O (h3) formula for f'(x0).

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