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Find Numerical Differentiation, {{1.4,4.0552},{1.6,4.9530},{1.8,6.0496},{2.0,7.3891},{2.2,9.0250}},x=1.4 [ Calculator, Method and examples ]

Solution:
Your problem `->` Numerical Differentiation, {{1.4,4.0552},{1.6,4.9530},{1.8,6.0496},{2.0,7.3891},{2.2,9.0250}},x=1.4


Numerical differentiation method to find solution.
The value of table for `X` and `Y`

X 1.4 `x_0=1.4` 1.6 `x_1=1.6` 1.8 `x_2=1.8` 2 `x_3=2` 2.2 `x_4=2.2`
Y 4.0552 `y_0=4.0552` 4.953 `y_1=4.953` 6.0496 `y_2=6.0496` 7.3891 `y_3=7.3891` 9.025 `y_4=9.025`


Newton's forward differentiation table is as follows.





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