NUMERICAL DIFFERENTIATIONS

Question 1

Remember that when we solve for f ‘(n), we are actually solving the ______ of the function at that particular point.

Answer 1

slope

Question 2

In Numerical Methods we can solve the approximate value (VA) of the slope using these methods, without determining the derivative of the given function.

Answer 2

1. Forward Divided Difference Method (FDD)
2. Backward Divided Difference Method (BDD)
3. Central Divided Difference Method (CDD)
4. Richardson’s Extrapolation using CDD (RECDD)

Question 3

This method makes use of both FDD and BDD function values and dividing it by twice the step size. Provides a nearer approximate to the true value than either FDD or BDD.

Answer 3

Central Divided Difference Method (CDD)

Question 4

This method gives a much better approximated value from the previous three methods.
The CDD equation above is used twice. First using the full step value of “h”, and on the second the half step value “h/2”.

Answer 4

Richardson’s Extrapolation using CDD