What are the four points Lagrange interpolation polynomial that takes some value of the function (y) at the given points and estimate the value of y (10)? - Quora
![SOLVED: #4 For the following table; develop by hand calculation the Lagrange interpolation polynomial Pz (x) and Newton interpolation polynomial Pz (x) in their respective form as represented by (5.20) and (17.18): SOLVED: #4 For the following table; develop by hand calculation the Lagrange interpolation polynomial Pz (x) and Newton interpolation polynomial Pz (x) in their respective form as represented by (5.20) and (17.18):](https://cdn.numerade.com/ask_images/e7aa5ce930ba4d079b9e9e852953f72c.jpg)
SOLVED: #4 For the following table; develop by hand calculation the Lagrange interpolation polynomial Pz (x) and Newton interpolation polynomial Pz (x) in their respective form as represented by (5.20) and (17.18):
![SOLVED: Q2) (25 p.) a) Use Lagrange interpolation polynomial to derive the numerical differentiation formula 2f (xo)-Sf (xoth)+4f(xo+2h)-f(xo+3h) f" (xo) = h2 b) Let f(x) = (x3 + Sx)3 use above formula SOLVED: Q2) (25 p.) a) Use Lagrange interpolation polynomial to derive the numerical differentiation formula 2f (xo)-Sf (xoth)+4f(xo+2h)-f(xo+3h) f" (xo) = h2 b) Let f(x) = (x3 + Sx)3 use above formula](https://cdn.numerade.com/ask_images/afe8dad3953e41b7b09cb5c82bd44b6b.jpg)