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.
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Answer:

Step-by-step explanation:

Making denominator same in first bracket we get


Dividing 6 by 3 we get 2

using distributive law

Hence this is our answer
Answer:
e = -1/2
Step-by-step explanation:
4/3 = -6e - 5/3
transfer -6e to the right
4/3 = -5/3 -6e
Find the LCM of 3,3and 1
and their LCM is 3. So, divide all through by 3
3(4/3) = 3(-5/3) - 6e × 3
4 = -5 -18e
combine
4 + 5 = -18e
9 = -18e
divide by -18
9/ -18 = -18e/ -18
-1/2 = e
e = -1/2
Answer:
The solution is

Step-by-step explanation:
The given equations are

and

The graph of the two equations intersects at
as show in the graph in the attachment.
The point of intersection of the two graphs is the solution to system of equations.
Hence the solution is

Answer:
-4x^2+9x
Step-by-step explanation:
Adding boh gives
(f+g)(x)=-2x^2+(-2x^2+9x)
=-2x^2-2x^2+9x
=-4x^2+9x