3.1 - Fundamentals of Numerical Differentiation
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Practice Questions
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What is numerical differentiation?
💡 Hint: Focus on what it does with data points.
Name the three primary difference methods.
💡 Hint: Look for directional differences.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does numerical differentiation estimate?
💡 Hint: Think about what derivative represents.
True or False: The Central Difference method uses values on both sides of the target point.
💡 Hint: Reflect on how averages work.
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Challenge Problems
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Given a set of data points, (x: 0, f(x): 1), (x: 0.5, f(x): 2), (x: 1, f(x): 3), estimate the derivative at x=0.5 using all three difference methods.
💡 Hint: Apply each formula carefully to derive results.
An experimental dataset shows significant noise. What strategies would you implement to reduce numerical differentiation errors?
💡 Hint: Think about how errors are influenced by data quality.
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