
Analyzing Derivatives and Concavity
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Thomas White
FREE Resource
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39 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary focus of using F' and F'' in calculus?
To calculate the area under the curve
To find the roots of f(x)
To analyze the behavior and shape of f(x)
To determine the exact values of f(x)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If F'(x) is greater than zero, what can be inferred about f(x)?
f(x) is constant
f(x) is increasing
f(x) has a maximum
f(x) is decreasing
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the role of F' in determining the behavior of f(x)?
It determines the integral of f(x)
It determines the roots of f(x)
It determines the concavity of f(x)
It determines the slope of f(x)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean if F' is positive?
F is increasing
F is constant
F is decreasing
F has a maximum
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the role of F' in determining the behavior of f(x)?
It determines the slope of f(x)
It determines the concavity of f(x)
It determines the roots of f(x)
It determines the integral of f(x)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean if F' is positive?
F is decreasing
F is constant
F is increasing
F has a maximum
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a sign chart help determine about a function?
The integral of f(x)
The derivative of f(x)
Intervals where f(x) is increasing or decreasing
The exact value of f(x) at a point
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