Question

[SCREENSHOT INCLUDED] Which of the following is the best estimate of f '(2) based on this table of values?

Answer 1

Using derivatives, it is found that the best estimate of f '(2) based on this table of values is of 10.

The rate of change from x = 0 to x = 2 is given by:

$r_1 = \frac{2 - (-16)}{2 - 0} = \frac{18}{2} = 9$

From x = 2 to x = 4, it is given by:

$r_2 = \frac{24 - 2}{4 - 2} = \frac{22}{2} = 11$

The average of these rates is:

$A = \frac{r_1 + r_2}{2} = \frac{9 + 11}{2} = 10$

Hence, the best estimate of f '(2) based on this table of values is of 10.

To learn more about derivatives, brainly.com/question/18590720