1.1.7 - Example Problems
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Define a finite difference.
💡 Hint: Think about how we determine changes in function values.
What is the formula for the first forward difference?
💡 Hint: Remember how you calculate the change in function value.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the first forward difference for f(1) if f(1)=1 and f(2)=8?
💡 Hint: Look at the values of f at points 1 and 2.
True or False: The second forward difference is calculated from the first forward differences.
💡 Hint: Recall how the terms relate to each other.
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
Calculate the first and second forward differences for the function defined at points x = 2, 4, 6, 8 with values 3, 12, 27, 48.
💡 Hint: Use the same forward difference formulas.
Explain the significance of finite differences in the derivation of numerical differentiation techniques.
💡 Hint: Make connections between finite differences and slope calculations!
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.