## Question

###### Differentiate the following data at 0.3 with higher accuracy x0 0.126 0.25 0.375 0.48 0.625 0.75...

Differentiate the following data at 0.3 with higher accuracy x0 0.126 0.25 0.375 0.48 0.625 0.75 y 10 7.11 4.59 2.57 1.15 0.33 0.03

## Answers

1 we need to out the polynomial first find polyment using repression analysis for the given points X O 0.126 0.25 0.375 4.59 2.57 1)S 8.48 0.625 0.13 0:03 0.75 as! we have ang using repression ein, have the polynomial feas - 1173.27 26 + 2501.4605 1992.41 24 + 740:5 33 -113.83 %? -16.95% +9.99 f'!) -7039.62x5 + 12507.3 x + 1250713 ~^ - 7969.6493 227.662 -16.95 2 + 222).86x -16. 258 | f'(0-3) - on solving is taken , so desired answer dessee 2 or 3 degree polynomial As polynomial of 6th obtained is highing accurate. one can also take a using repression method but that would not yield the results, accurate

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