Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skillsβperfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a finite difference?
π‘ Hint: Recall the definition.
Question 2
Easy
State the polynomial property of finite differences.
π‘ Hint: Think about the behavior of polynomials.
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 is the result of the (n+1)th finite difference of a polynomial of degree n?
- Zero
- The polynomial itself
- A constant
π‘ Hint: Think about the definition and properties of polynomials.
Question 2
True or False: The linearity property states that Ξ(af(x) + bg(x)) = aΞf(x) + bΞg(x).
- True
- False
π‘ Hint: Recall the properties discussed.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Calculate the finite difference of the function f(x) = x^4 at x = 1 using a step size of h = 1.
π‘ Hint: Make sure to substitute in the values of the function.
Question 2
Using the property of finite differences, explain what happens when you increase the degree of a polynomial beyond n.
π‘ Hint: Consider how polynomial nature influences finite differences.
Challenge and get performance evaluation