Loading the lesson
Loading the lesson
Search AllRounder.ai
Search the courses, subjects, tracks, games and features, or jump straight to a page.
Search the courses, subjects, tracks, games and features, or jump straight to a page.
3 cards from this section. Quick, good the night before a test.
What is the definition of a divided difference?
Think about how you calculate the changes in y values.
What is the first term in Newton's interpolation formula?
It’s always the initial value of f.
What is the first divided difference for points (1,2) and (2,4)?
Focus on the formula for divided differences.
True or False: Divided differences can only be calculated if data points are evenly spaced.
Think about the flexibility of this method.
Given the points (0, 1), (1, 3), (2, 2), (3, 5), derive the polynomial using Newton's Divided Differences and find the value at x=1.5.
Make sure to carefully calculate each section of your divided difference table.
You have data points (2, 4), (3, 1), (5, 3). Create a Newton's divided difference table and find f(4).
Watch out for negative differences that can affect your calculations!
5 more questions in this section. Enroll free to practise them all.
Enroll free