Second Derivative Test Concepts
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Thomas White
FREE Resource
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15 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in using the second derivative test?
Find the second derivative
Evaluate the function at a point
Take the first derivative
Determine concavity
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What can be determined by finding the critical values of a function?
The function's minimum value
The function's maximum value
The points where the function is not defined
The points where the function's derivative is zero or undefined
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the critical value of the function f(x) = 2x + 3?
0
-3
None, as the function is linear
3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of using test intervals in the first derivative test?
To determine where the function is increasing or decreasing
To determine the function's concavity
To find the function's minimum value
To find the function's maximum value
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why might one choose to use the second derivative test over the first derivative test?
It provides information about concavity
It is always more accurate
It is easier to understand
It requires less computation
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the second derivative of the function f(x) = 2x + 3?
1
2
0
3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of evaluating f''(3) for the function f(x) = 2x + 3?
2
1
3
0
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