- Estimate f'(2.5) given the following table of values:

Answer
For each problem, we rearrange the information given into a more familiar table, then calculate the slopes.

As h approaches 0 from the right we find the slopes 6 and 10. As h approaches 0 from the left we find the slopes 5 and 9. We estimate that f'(2.5) is in between 9 and 10.