Mathematics · Numerical Methods
The second derivative of a function f is computed using the fourth-order Central Divided Difference method with a step length h. The correct expression for the second derivative f''(xi) is:
- 1112h2 [fi+2 + 16fi+1 - 30fi + 16fi-1 - fi-2]
- 2112h2 [-fi+2 - 16fi+1 + 30fi - 16fi-1 - fi-2]
- 3112h2 [-fi+2 + 16fi+1 - 30fi + 16fi-1 + fi-2]
- 4112h2 [-fi+2 + 16fi+1 - 30fi + 16fi-1 - fi-2]✓
Correct answer
112h2 [-fi+2 + 16fi+1 - 30fi + 16fi-1 - fi-2]
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