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Problem: Divided Difference, 2x^3-4x+1, [2,4], x=2.1, N=4 [ Calculator, Method and examples ]

Solution:
Your problem `->` Divided Difference, 2x^3-4x+1, [2,4], x=2.1, N=4


Equation is `f(x) = 2x^3-4x+1`.

`h = (b-a)/N`

`h = (4 - 2) / 4 = 0.5`

The value of table for `X` and `Y`

X22.533.54
Y922.254372.75113

Numerical divided differences method to find solution
Newton's divided difference table is as follows.
XY(X)`1^(st)` order`2^(nd)` order`3^(rd)` order`4^(th)` order
29
26.5
2.522.2515
41.52
343180
59.52
3.572.7521
80.5
4113


The value of `x` at you want to find the `f(x) : x = 2.1`






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