numerical dierentiation 1 finite dierence formulas for the rst derivative using taylor expansion technique section 8 3 1 suppose that f h g h h is a function of the ...
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...Numerical dierentiation finite dierence formulas for the rst derivative using taylor expansion technique section suppose that f h g is a function of variable and as remains bounded this means there exists some m such when equivalently we have by taking to other side o similarly if where then so on let be any dened vicinity xed x representing positive number close zero are going later about base point hf move left hand divide expression inside braces tends therefore can simply write above equality moving get but multiplying an constant does not aect status also last written in words with truncation error order called two forward formula which will see how nd approximations higher accuracy example following data set values given what approximation solution now equation us change may rewrite backward here want central start replace subtracting from upon dividing being note denominator just between endpoints approximating better than because smaller small s each step unit hence...