
Understanding the Second Derivative Test and Concavity

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard
Jennifer Brown
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean for a function to be concave down?
The first derivative is decreasing.
The function is linear.
The second derivative is greater than zero.
The first derivative is increasing.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When is a function considered to be concave up?
When the first derivative is constant.
When the second derivative is less than zero.
When the first derivative is decreasing.
When the second derivative is greater than zero.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a point of inflection?
A point where the first derivative is zero.
A point where the function has a local maximum.
A point where the concavity changes.
A point where the function is undefined.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you simplify the process of finding derivatives?
By ignoring higher-order terms.
By distributing exponents before differentiating.
By using the chain rule.
By using numerical methods.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the second derivative being zero?
It indicates a local minimum.
It indicates the function is linear.
It indicates a point of inflection.
It indicates a local maximum.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine intervals of concavity?
By evaluating the second derivative at critical points.
By using the first derivative test.
By finding where the first derivative is zero.
By finding where the second derivative is zero or undefined.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a positive second derivative indicate at a critical point?
A local maximum.
A point of inflection.
A local minimum.
A saddle point.
Create a free account and access millions of resources
Similar Resources on Wayground
11 questions
Optimization Concepts in Calculus

Interactive video
•
9th - 10th Grade
11 questions
Understanding the Second Derivative

Interactive video
•
9th - 10th Grade
8 questions
Understanding Functions and Their Properties

Interactive video
•
9th - 10th Grade
11 questions
Understanding Derivatives and the Product Rule

Interactive video
•
9th - 10th Grade
10 questions
Understanding Derivatives and Their Implications

Interactive video
•
9th - 10th Grade
8 questions
Analyzing Function Behavior and Graphs

Interactive video
•
9th - 10th Grade
8 questions
Learn how to determine concavity and point of inflection AP style

Interactive video
•
9th - 10th Grade
8 questions
Analyzing Increasing Functions

Interactive video
•
9th - 10th Grade
Popular Resources on Wayground
10 questions
Video Games

Quiz
•
6th - 12th Grade
20 questions
Brand Labels

Quiz
•
5th - 12th Grade
15 questions
Core 4 of Customer Service - Student Edition

Quiz
•
6th - 8th Grade
15 questions
What is Bullying?- Bullying Lesson Series 6-12

Lesson
•
11th Grade
25 questions
Multiplication Facts

Quiz
•
5th Grade
15 questions
Subtracting Integers

Quiz
•
7th Grade
22 questions
Adding Integers

Quiz
•
6th Grade
10 questions
Exploring Digital Citizenship Essentials

Interactive video
•
6th - 10th Grade
Discover more resources for Mathematics
12 questions
Graphing Inequalities on a Number Line

Quiz
•
9th Grade
15 questions
Two Step Equations

Quiz
•
9th Grade
15 questions
Slope

Lesson
•
7th - 9th Grade
15 questions
Solving Literal Equations

Quiz
•
8th - 9th Grade
12 questions
Absolute Value Equations

Quiz
•
9th Grade
10 questions
Decoding New Vocabulary Through Context Clues

Interactive video
•
6th - 10th Grade
20 questions
Parallel lines and transversals

Quiz
•
9th - 12th Grade
10 questions
Solving Absolute Value Equations

Quiz
•
9th Grade