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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is numerical differentiation?
π‘ Hint: Think about how derivatives are generally defined.
Question 2
Easy
List the three finite difference methods.
π‘ Hint: Consider how each method approaches the problem.
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 the primary goal of numerical differentiation?
- To find exact derivatives
- To approximate derivatives
- To calculate integrals
π‘ Hint: Consider the cases when you might not have a formula.
Question 2
True or False: The central difference method is less accurate than the forward difference method.
- True
- False
π‘ Hint: Think about the data points used in each method.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the function f(x) = x^2 + 3x, find the derivative using forward and backward differences at x = 1 with h = 0.1. Compare your results to the actual derivative.
π‘ Hint: Use the provided formulae and plug in the values carefully.
Question 2
Estimate the integral of f(x) = cos(x) from 0 to Ο/2 using Simpson's Rule with four intervals. Calculate the error compared to the known analytical result.
π‘ Hint: Divide the interval properly and remember to apply the Simpson's Rule formula.
Challenge and get performance evaluation