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
Write a system of equations and solve.
x + y = 10
5x + 10y = 90
Multiply and combine equations
-5x - 5y = -50
5x + 10y = 90
------------------
5y = 40
y = 8
x = 2
There are 2 nickels and 8 dimes in the jar. Hope this helps! :)
Answer:
The concept which best describes the change of the population is the derivative of
.
Step-by-step explanation:
Observe that the function
describes the amount of rabbits at the time t (in years) but no the rate of change of the population at a given instant. So you have to use the derivative of
to obtain that rate of change at any instant. For example, if we derivate the function
we obtain:

And if we want to find the rate of change at
years we evaluate
rabbits/year
No, because if you divide 23 / 4, you get 5.75. You can't get 0.75th of a kid. So it is not reasonable, because it is a decimal, and not a whole number.
Hope this helped! ☺♥