Second Derivative Test Concepts
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Thomas White
FREE Resource
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8 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary purpose of the second derivative test?
To find the global maximum and minimum
To determine the concavity of a function
To find the local maximum and minimum
To calculate the slope of a tangent line
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a critical number in the context of the second derivative test?
A point where the function has a maximum value
A point where the second derivative is zero
A point where the first derivative is zero or undefined
A point where the function is undefined
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the second derivative at a critical point is positive, what does it indicate?
The function has a local maximum
The function is undefined
The function is concave down
The function has a local minimum
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example problem, what is the function being analyzed?
X + 4
X^2 + 4
X over x^2 + 4
X^2 - 4
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving the example problem using the second derivative test?
Determine the concavity
Simplify the function
Find the critical numbers
Calculate the second derivative
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the second derivative calculated in the example problem?
Using the quotient rule
Using the power rule
Using the chain rule
Using the product rule
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a negative second derivative at a critical point indicate?
The function has a local minimum
The function is concave up
The function has a local maximum
The function is undefined
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