
Understanding Derivatives and Concavity

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Patricia Brown
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does f'(x) represent in relation to f(x)?
The minimum value of f(x)
The slope of the tangent line to f(x)
The maximum value of f(x)
The area under the curve of f(x)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a change from negative to positive slope indicate?
A point of inflection
A critical value
A constant function
A horizontal asymptote
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Between which intervals is f'(x) positive according to the discussion?
From 2 to 5
From -3 to 2
From 3 to 2
From -7 to 3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to turning points when moving from f(x) to f'(x)?
They double
They remain the same
They decrease
They increase
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does f''(x) tell us about a function?
The minimum value of f(x)
The concavity of f(x)
The slope of f(x)
The maximum value of f(x)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Where does concavity change in a function?
At the maximum points
At the minimum points
At the critical points
At the points of inflection
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the second derivative being zero?
It indicates a point of inflection
It indicates a maximum point
It indicates a constant function
It indicates a minimum point
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