

Understanding Derivatives and Costs
Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Hard
Thomas White
FREE Resource
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28 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary method discussed in the video for finding the minimum of average total costs?
Using graphical analysis
Using derivatives
Using statistical methods
Using algebraic simplification
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the first derivative of a function tell us?
The curvature of the function
The slope of the function
The minimum value of the function
The maximum value of the function
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of the video, what does setting the first derivative to zero help identify?
The maximum point
The inflection point
The minimum point
The average point
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the average total cost function derived from the total cost function 6q^2 + 30q + 150?
6q + 30 + 150q
6q + 30q + 150
6q^2 + 30q + 150/q
6q + 30 + 150/q
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the function 6q + 30 + 150/q rewritten for easier differentiation?
6q + 30 + 150q
6q + 30 + 150q^3
6q + 30 + 150q^2
6q + 30 + 150q^-1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first derivative of the function 6q + 30 + 150q^-1?
6q - 150q^-1
6q + 150q^-1
6 + 150q^-2
6 - 150q^-2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What value of q minimizes the average total cost in the example provided?
q = 10
q = 5
q = 20
q = 15
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