3.2.1 - Finite Difference Methods
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Practice Questions
Test your understanding with targeted questions
What is the formula for the forward difference method?
💡 Hint: Think about how it estimates the change at a point.
Explain what happens if h is too large in forward difference.
💡 Hint: Consider how large steps might affect accuracy.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the main advantage of central difference over forward difference?
💡 Hint: Focus on the precision of the approximation.
True or False: The backward difference is more accurate than the forward difference method.
💡 Hint: Consider the reliability of each method.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given the function f(x) = x^3, use both forward and central difference methods with h = 0.1 to approximate f'(2). Compare the accuracy of your approximations.
💡 Hint: Use your calculated values of f for both methods to derive the results.
Analyze the performance of the backward difference method with various step sizes on f(x) = ln(x) around x = 1. What do you find?
💡 Hint: Evaluate each result and discuss.
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