Show that Lagranges interpolation formula for cubic interpolation is Use this formula to find a cubic polynomial

Question:

Show that Lagrange’s interpolation formula for cubic interpolation  is

f(x) = (x-x)(x-x)(x (xox)(xox)(x  x3) - x) - + (x-x)(x-x)(x - x) + -fi (x - x0)(x - x)(x - x3) -fo

Use this formula to find a cubic polynomial that fits the function f given in the following table:

x fox) -1 - 1 0 0 1 1  2 8

Draw the graph of the cubic for –1 1/3.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: