C.NQ.2
Estimate numerical derivatives from graphs or tables of data.
Example Problems
Let H be a function defined as .
Find .
Find .
This table gives select values of the differentiable function g.
What is the best estimate for based on this table?
| x | 3 | 5 | 7 | 9 |
|---|---|---|---|---|
| g(x) | –4 | 2 | 14 | 30 |
What is the best estimate for based on this table?
This table gives select values of the differentiable function h.
What is the best estimate for based on this table?
| x | –1 | 1 | 3 | 5 |
|---|---|---|---|---|
| h(x) | –2 | 2 | 10 | 22 |
What is the best estimate for based on this table?

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