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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

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 Y 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 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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