Understanding Derivatives and Critical Points
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Mia Campbell
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main task when given the graph of the first derivative?
To calculate the integral of the function
To find the second derivative
To find the function F(x)
To determine when the derivative is positive or negative
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When is a function considered positive?
When it is parallel to the x-axis
When it crosses the y-axis
When it is above the x-axis
When it is below the x-axis
Tags
CCSS.HSF.IF.B.4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a positive first derivative indicate about the function F(x)?
F(x) is decreasing
F(x) is constant
F(x) is increasing
F(x) is undefined
Tags
CCSS.HSF.IF.B.4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Where do critical numbers occur?
Where the first derivative is zero
Where the first derivative is undefined
Where the function is undefined
Where the second derivative is zero
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many critical numbers are identified in the transcript?
Three
Five
Two
Four
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to F(x) at a point where the first derivative changes from negative to positive?
F(x) has a relative maximum
F(x) has a relative minimum
F(x) is constant
F(x) is undefined
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
At which x-value does F(x) have a relative maximum?
x = -5
x = -1
x = 2
x = 0
Tags
CCSS.HSF.IF.B.4
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