The order of accuracy for the central divided difference formula f(x+h)-f(x - h) 2h for the first derivative of a continuous function is of the order of ƒ'(x) ≈

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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The order of accuracy for the central divided difference formula
f(x+h)-f(xh)
2h
for the first derivative of a continuous function is of the order of
f'(x) ~
о
0(h³)
O(h)
0(h²)
Transcribed Image Text:The order of accuracy for the central divided difference formula f(x+h)-f(xh) 2h for the first derivative of a continuous function is of the order of f'(x) ~ о 0(h³) O(h) 0(h²)
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Step 1

To find the order of accuracy for the central divided difference for formula,

                                f'(x)f(x+h)-f(x-h)2h.

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