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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the definition of a finite difference?
💡 Hint: Think about how one value differs from another.
Question 2
Easy
Calculate the forward difference Δf(1) when f(1)=1 and f(2)=8.
💡 Hint: Use the formula for forward difference.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does Δf represent?
- The change in function value
- The total value of a function
- The function itself
💡 Hint: It's about the change between two points.
Question 2
True or False: The backward difference only uses future value data.
- True
- False
💡 Hint: Focus on which values are involved.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Use finite differences to derive the second-order link function from known values at three points: (1, 1), (2, 8), (3, 27).
💡 Hint: Think about how differences build upon each other visually.
Question 2
Given data points are not equally spaced, explain how you would adapt Newton's backward interpolation formula.
💡 Hint: Focus on the key differences in how you find u.
Challenge and get performance evaluation