I'm so sorry I wish I knew the answer to your question
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 <u>from x = 0 to x = 2</u> is given by:

From <u>x = 2 to x = 4</u>, it is given by:

The average of these rates is:

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
Step-by-step explanation:
<u>y</u> - <u>1</u> = <u>-</u><u>3</u>
x - 0 2
2y - 2 = -3x
2y = -3x + 2