The chart at the bottom shows the Lagrange polynomial, as well as its basis polynomials. If you want to see a step-by-step solution for the polynomial formula, turn on the "Show Step-By-Step Solution" option. If you want to interpolate the function by the Lagrange polynomial, enter the points of interpolation into the next field, just x values, separated by spaces.īy default, the calculator shows the final formula and interpolated points. It plots the data set, interpolated points, Lagrange polynomial and its basis polynomials on the chart.įirst, enter the data points, one point per line, in the form x f(x), separated by spaces. It interpolates the unknown function by computing the value of the Lagrange polynomial at the given x values (points of interpolation).It shows step-by-step formula derivation.It finds the final Lagrange polynomial formula for a given data set.The calculator below can assist with the following: In these problems you are often asked to interpolate the value of the unknown function corresponding to a certain x value, using Lagrange's interpolation formula from the given set of data, that is, a set of points x, f(x). I wrote this calculator to be able to verify solutions for Lagrange's interpolation problems.
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