Practice Newton’s Backward Difference Formula For Derivatives (3.3) - Numerical Differentiation

Practice: Newton’s Backward Difference Formula for Derivatives

Lesson 3.3Numerical Differentiation

Practise this section

8 questions

Flashcard drill
2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What is the basic formula for the first derivative at the end of the data set using backward difference?
Show hintHide hint
Think about how we represent the operation of difference.
Question 2.
Define round-off error in the context of numerical methods.
Show hintHide hint
It involves how calculations can deviate due to limited digits.
3Question 3.
What does the backward difference formula estimate?
- Integrals
- First and second derivatives
- Functions
Show hintHide hint
Remember what numerical differentiation is used for.
4Question 4.
True or False: Backward difference uses earlier data points in calculations.
- True
- False
Show hintHide hint
Think about which end of the dataset it targets.
Question 5.
Given a table of values for a function at points (2, 0.9), (2.2, 1.7), (2.4, 2.5), calculate the first derivative at the last point (2.4) using backward difference.
Show hintHide hint
Fill in the required y-values from your table.
Question 6.
In a physics experiment, the acceleration of an object at different time intervals is recorded. Apply backward difference to find the changes in acceleration at the last recorded time.
Show hintHide hint
Set up your calculations step-by-step with the values.

4 more questions in this section. Enroll free to practise them all.