Derivatives using Newton's Forward Difference formula calculator for a function

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Problem: Newton's Forward Differentiation, 2x^3-4x+1, [2,4], x=2.25, h=0.25 [ Calculator, Method and examples ]

Solution:
Your problem `->` Newton's Forward Differentiation, 2x^3-4x+1, [2,4], x=2.25, h=0.25

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

Numerical differentiation method to find solution.
The value of table for `x` and `y`

x	2	2.25	2.5	2.75	3	3.25	3.5	3.75	4
y	9	14.7812	22.25	31.5938	43	56.6562	72.75	91.4688	113

Newton's forward differentiation table is

x	y	`Deltay`	`Delta^2y`	`Delta^3y`	`Delta^4y`
2	9
		5.7812
2.25	14.7812		1.6875
		7.4688		0.1875
2.5	22.25		1.875		0
		9.3438		0.1875
2.75	31.5938		2.0625		0
		11.4062		0.1875
3	43		2.25		0
		13.6562		0.1875
3.25	56.6562		2.4375		0
		16.0938		0.1875
3.5	72.75		2.625		0
		18.7188		0.1875
3.75	91.4688		2.8125
		21.5312
4	113

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