

Understanding Derivatives and Concavity
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Thomas White
FREE Resource
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the second derivative of a function represent?
The slope of the tangent line
The rate of change of the first derivative
The maximum value of the function
The minimum value of the function
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the first derivative of a function is negative, what does this indicate about the function's behavior?
The function is constant
The function is decreasing
The function is increasing
The function has a point of inflection
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean when a graph is described as 'concave up'?
The graph is shaped like a smile
The graph is constant
The graph is shaped like a frown
The graph is linear
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the point where the second derivative equals zero?
It is a point of discontinuity
It is a point of inflection
It is always a minimum point
It is always a maximum point
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the second derivative help in determining the concavity of a graph?
Negative second derivative indicates a point of inflection
Negative second derivative indicates concave up
Positive second derivative indicates concave down
Positive second derivative indicates concave up
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the concavity of a graph at a point of inflection?
It never changes
It always changes
It may change
It becomes undefined
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When the first derivative is zero and the second derivative is negative, what does this indicate?
A point of inflection
A constant function
A local minimum
A local maximum
Access all questions and much more by creating a free account
Create resources
Host any resource
Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever
or continue with

Microsoft
%20(1).png)
Apple
Others
Already have an account?
Popular Resources on Wayground
15 questions
Fractions on a Number Line
Quiz
•
3rd Grade
20 questions
Equivalent Fractions
Quiz
•
3rd Grade
25 questions
Multiplication Facts
Quiz
•
5th Grade
29 questions
Alg. 1 Section 5.1 Coordinate Plane
Quiz
•
9th Grade
22 questions
fractions
Quiz
•
3rd Grade
11 questions
FOREST Effective communication
Lesson
•
KG
20 questions
Main Idea and Details
Quiz
•
5th Grade
20 questions
Context Clues
Quiz
•
6th Grade
Discover more resources for Mathematics
29 questions
Alg. 1 Section 5.1 Coordinate Plane
Quiz
•
9th Grade
20 questions
Graphing Inequalities on a Number Line
Quiz
•
6th - 9th Grade
20 questions
Box and Whisker Plots
Quiz
•
9th Grade
18 questions
Exponential Growth and Decay
Quiz
•
9th Grade
20 questions
Function or Not a Function
Quiz
•
8th - 9th Grade
20 questions
SSS/SAS
Quiz
•
9th - 12th Grade
14 questions
Making Inferences From Samples
Quiz
•
7th - 12th Grade
23 questions
CCG - CH8 Polygon angles and area Review
Quiz
•
9th - 12th Grade