What possible advantage does the formula derivation using, Basic Computer Science

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What possible advantage does the formula derivation using

1. How does numerical differentiation differ from manual or symbolic differentiation?

2. Define order of accuracy.

3. Explain briefly the Richardson extrapolation process and give two potential advantages and two potential disadvantages.

4. What possible advantage does the formula derivation using Lagrange polynomial interpolation have over using Taylor expansions?

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Basic Computer Science: What possible advantage does the formula derivation using

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