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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the formula for the forward difference?
π‘ Hint: Think about how the function values change with a small increment.
Question 2
Easy
What is the backward difference at point x?
π‘ Hint: Consider the value at the current point and the previous point.
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 the forward difference measure?
- Decrease in function value
- Change in function value as x increases
- Average change
π‘ Hint: Recall the forward difference formula.
Question 2
True or False: The central difference provides less accuracy than the forward and backward differences.
- True
- False
π‘ Hint: Consider the definitions of each type of difference.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the function f(x) = sin(x) at x = 0, Ο/6, Ο/3, Ο/2, find the first forward differences.
π‘ Hint: Substitute the values of sin function at the mentioned points.
Question 2
Derive the central difference formula from the definitions of forward and backward differences.
π‘ Hint: Consider the symmetrical nature of central differences.
Challenge and get performance evaluation