
Understanding Derivatives and Their Applications

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Medium

Mia Campbell
Used 1+ times
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the sign of the first derivative if a function is increasing?
Zero
Undefined
Negative
Positive
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the first derivative is decreasing, what is the sign of the second derivative?
Negative
Undefined
Positive
Zero
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the population growth example, what is the sign of the second derivative when the population is growing more slowly?
Undefined
Positive
Negative
Zero
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a concave down graph indicate about the second derivative?
It is zero
It is negative
It is undefined
It is positive
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the airplane landing example, what is the sign of the first derivative as the plane descends?
Zero
Negative
Positive
Undefined
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the second derivative positive during a smooth airplane landing?
The rate of altitude decrease is increasing
The rate of altitude decrease is decreasing
The altitude is constant
The altitude is increasing
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the sign of the first derivative at the peak of stock prices?
Positive
Negative
Undefined
Zero
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