Problem: Newton's Backward Differentiation, 2x^3-4x+1, [2,4], x=3.5, N=4 [ Calculator, Method and examples ]
Solution:
Your problem `->` Newton's Backward Differentiation, 2x^3-4x+1, [2,4], x=3.5, N=4
Equation is `f(x)=2x^3-4x+1`.
`h = (b-a)/N`
`h = (4 - 2) / 4 = 0.5`
Numerical differentiation method to find solution.
The value of table for `x` and `y`
| x | 2 | 2.5 | 3 | 3.5 | 4 |
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| y | 9 | 22.25 | 43 | 72.75 | 113 |
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Newton's backward differentiation table is
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