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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is numerical differentiation?
💡 Hint: Think about how we deal with tables of values.
Question 2
Easy
List the three main difference formulas used in numerical differentiation.
💡 Hint: These have directions in their names.
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 numerical differentiation?
- A method to differentiate analytically
- Estimating derivatives from discrete data
- It is obsolete method
💡 Hint: Remember how we handle experimental data.
Question 2
Round-off error occurs due to:
- True
- False
💡 Hint: Think about how computers manage decimal values.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a table of values: x | f(x): 0 | 1, 1 | 2, 2 | 0.5, calculate f'(1) using the central difference method and discuss the effect of spacing.
💡 Hint: Think about how the choice of spacing affects your calculations.
Question 2
Explore the implications of using noisy data for numerical differentiation and propose strategies to mitigate errors.
💡 Hint: Consider filtering approaches that are common in data analysis.
Challenge and get performance evaluation