Question: compute f'(x) at x=83.2 using forward and backward finite difference approximation of O(h). to solve this, use these tables of O(h): X Y 5.58 18.3

compute f'(x) at x=83.2 using forward and backward finite difference approximation

compute f'(x) at x=83.2 using forward and backward finite difference approximation of O(h).

to solve this, use these tables of O(h):

of O(h). to solve this, use these tables of O(h): X Y

X Y 5.58 18.3 35.78 58.75 83.2 96.77 96.81 102.9 155.85 175.85 188.33 106.42 Coefficients of forward finite difference approximations of O(hz) Table.4 f(x) f(x + h) f(x + h) f(x + 2h) f(x +3h) f(x + 4h) f(x + 5h) O(h? 2hf'(x) h2 f" (x) 2h3 f'(x) h4 f (4)(x) -3 4 -1 2 5 4 -1 -5 18 - 24 14 -3 3 -14 26 - 24 11 - 2 Coefficients of backward finite difference approximations of O(h2 Table.5 || f(x - 5h) f(x - 4h) f(x - 3h) f(x - 2h) f(x - h) f(x - h) f(x) 1 - 4 3 O(h) -1 4 -5 2 2hf'(x) h2f"(x) 2h f'(x) ha f (4) (x) 3 - 14 24 -18 5 -2 11 - 24 26 -14 3

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