Final answer:
The backward difference formula approximates a derivative by calculating the difference between a function value and its previous value, divided by the step size (h). The forward difference formula is similar but considers the difference between a function value and its next value. This process is applied with h=0.1 to complete the table.
Step-by-step explanation:
The backward difference formula approximates a function's derivative by evaluating the difference between a function value and its previous value, divided by the step size (h).
To complete a table using this formula with h=0.1, subtract the function value at a given point from its previous value and divide by h.
Similarly, the forward difference formula estimates the derivative by calculating the difference between a function value and its next value, divided by h.
Applying this formula with h=0.1 involves subtracting the function value at a given point from its next value and dividing the result by h.
These methods aid in discretely approximating derivatives for numerical analysis and simulations.