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Problem: Divided Difference, {{0,1,2,3},{1,0,1,10}},x=2.1 [ Calculator, Method and examples ]

Solution:
Your problem `->` Divided Difference, {{0,1,2,3},{1,0,1,10}},x=2.1


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

X0123
Y10110

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
01
-1
101
11
214
9
310


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

`Y(x) = y_0 + (x - x_0) f[x_0, x_1] + (x - x_0)(x - x_1) f[x_0, x_1, x_2] + (x - x_0)(x - x_1)(x - x_2) f[x_0, x_1, x_2, x_3]`






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