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Problem: Numerical Differentiation, 2x^3-4x+1, [2,4], x=3.5, N=4 [ Calculator, Method and examples ]

Solution:
Your problem `->` Numerical 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`

X22.533.54
Y922.254372.75113

Newton's backward differentiation table is as follows.
XY(X)`gradY``grad^2Y``grad^3Y``grad^4Y`
29
13.25
2.522.257.5
20.751.5
34390
29.751.5
3.572.7510.5
40.25
4113


The value of x at you want to find `f(x) : x_n = 3.5`

`h = x_1 - x_0 = 2.5 - 2 = 0.5`






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