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Numerical Differentation and Derivative By

Lagrange Formula

Bushra H. Aliwi

Department of Mathematics

BABYLON UNIVERSITY

Introduction:-

       The using polynomials introduced from interpolation formulas ,we can find the derivative of a tabular functions .The polynomials obtained before like Newton_Gregory forward and backward and Lagrange interpolation formula .

        The derivative value of function can be obtained by derive function interpolation formula and applying given values (like in formulas of Newton_Gregory forward and backward)  ,this in Derivative By Lagrange Formula it is different some thing ,since we have three point to be applying in three formulas for derivative ,for two ways first when the distance between points is unequal  while the other when the distance between points is equal and the formulas will be;

                  At first point missing called Forward Three Point s Formula

                  At second point missing called Centered Point Formula

                  At third point missing called Backward Three Point s Formula

        Example were given solved by using this three formulas ,and then we gave exercise for students to be solve as home work .