Practice Interpolation & Numerical Methods - 3 | 3. Numerical Differentiation | Mathematics - iii (Differential Calculus) - Vol 4
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is numerical differentiation?

πŸ’‘ Hint: Think about how we deal with tables of values.

Question 2

Easy

List the three main difference formulas used in numerical differentiation.

πŸ’‘ 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  • It is obsolete method

πŸ’‘ Hint: Remember how we handle experimental data.

Question 2

Round-off error occurs due to:

  • True
  • False

πŸ’‘ 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.

πŸ’‘ 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.

πŸ’‘ Hint: Consider filtering approaches that are common in data analysis.

Challenge and get performance evaluation