Home

Solve any problem
(step by step solutions)
Input table (Matrix, Statistics)
Mode :
SolutionHelp
Solution will be displayed step by step (In 2 parts)
Solution
Problem: Divided Difference, 2x^3-4x+1, [2,4], x=2.1, h=0.25 [ Calculator, Method and examples ]

Solution:
Your problem `->` Divided Difference, 2x^3-4x+1, [2,4], x=2.1, h=0.25


Equation is `f(x) = 2x^3-4x+1`.

The value of table for `X` and `Y`

X22.252.52.7533.253.53.754
Y914.781222.2531.59384356.656272.7591.4688113

Numerical divided differences method to find solution
Newton's divided difference table is as follows.
XY(X)`1^(st)` order`2^(nd)` order`3^(rd)` order`4^(th)` order
29
23.125
2.2514.781213.5
29.8752
2.522.25150
37.3752
2.7531.593816.50
45.6252
343180
54.6252
3.2556.656219.50
64.3752
3.572.75210
74.8752
3.7591.468822.5
86.125
4113


The value of `x` at you want to find the `f(x) : x = 2.1`

`Y(x) = y_0 + (x - x_0) f[x_0, x_1] + (x - x_0)(x - x_1) f[x_0, x_1, x_2] + (x - x_0)(x - x_1)(x - x_2) f[x_0, x_1, x_2, x_3] + (x - x_0)(x - x_1)(x - x_2)(x - x_3) f[x_0, x_1, x_2, x_3, x_4]`






Solution provided by AtoZmath.com
Any wrong solution, solution improvement, feedback then Submit Here
Want to know about AtoZmath.com and me
  
 

 
Copyright © 2019. All rights reserved. Terms, Privacy





We use cookies to improve your experience on our site and to show you relevant advertising. By browsing this website, you agree to our use of cookies. Learn more