

Analyzing Derivatives and Concavity
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Jackson Turner
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary focus of the graph discussed in the video?
y = x^4
y = x^5
y = x^2
y = x^3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first derivative of y = x^4?
4x^3
x
2x
3x^2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Where is the stationary point located for the function y = x^4?
At x = 2
At x = 0
At x = -1
At x = 1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the second derivative of y = x^4?
8x
4x^2
6x^3
12x^2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a zero second derivative at the origin indicate about the concavity?
Concave up
Concave down
No concavity
Point of inflection
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the graph of y = x^4 compare to y = x^2 near the origin?
It is the same
It is flatter
It is steeper
It is inverted
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the overall concavity of the graph of y = x^4?
Changes from concave up to concave down
Concave up throughout
Changes from concave down to concave up
Concave down throughout
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