Question: derived three different relationships for numerically computing first-derivatives (), using the Taylor series expansion The derived approximations has 1st and 2nd order accuracy. Using

derived three different relationships for numerically computing first-derivatives (), using the Taylor series expansion The derived approximations has 1st and 2nd order accuracy. Using similar ideas to: (a) Derive numerical finite difference formula for Second-derivative at first-order accuracy. (b) Derive numerical finite difference formula for Second-derivatives at second-order accuracy.

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