Calculus Mean Value Theorem
Authored by Lisa Lee
Mathematics
9th Grade - University
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12 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the average rate of change of the function below over the indicated interval?
f(x) = x2 - 3x - 28, [-4,7]
0
11
6
66
2.
MULTIPLE CHOICE QUESTION
20 sec • 1 pt
What is the derivative of
f(x) = x2 - 3x - 28 ?
2x - 3
2x + 3
x - 3
2x2 - 3x - 28
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is x-value at which the function below has the same slope as the average rate of change over the indicated interval?
f(x) = x2 - 3x - 28, [-4,7]
1.5
-1.5
0.5
-0.5
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the average rate of change of the function below over the indicated interval?
f(x) = 12√(x), [1,16]
12 / 5
1
0
36
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of
f(x) = 12√(x) ? Read the answer choices carefully - there are subtle differences between some of them.
6√(x)
6 / √(x)
12√(x)
12 / √(x)
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
What is x-value at which the function below has the same slope as the average rate of change over the indicated interval?
f(x) = 12√(x), [1,16]
2.5
6.25
14.4
6
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the average rate of change of the function below over the indicated interval?
f(x) = x2 + 5x + 5, [-2,6]
9
1
72
0
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