What is the first step in finding critical points of a function?

Critical Points and Derivatives

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

Thomas White
FREE Resource
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8 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find the derivative of the function
Graph the function
Find the second derivative
Set the function equal to zero
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it useful to factor the derivative of a function?
To determine the function's range
To simplify the function
To calculate the second derivative
To find the critical points more easily
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When is a critical point found?
When the function is increasing
When the derivative is positive
When the derivative is zero or undefined
When the function is decreasing
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a negative derivative indicate about the function's graph?
The graph is decreasing
The graph is constant
The graph is increasing
The graph is undefined
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a change from a negative to a positive derivative indicate?
A local maximum
A local minimum
A point of inflection
A constant function
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the function G(x) = 3x^4 - 4x^3?
12x^4 - 4x^3
3x^3 - 4x^2
3x^4 - 4x^3
12x^3 - 12x^2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the critical points of the function G(x) = 3x^4 - 4x^3?
x = -1 and x = 0
x = 1 and x = 2
x = 2 and x = 3
x = 0 and x = 1
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean if the derivative is negative on both sides of a critical point?
The point is a local maximum
The point is a local minimum
The function is constant
The point is neither a maximum nor a minimum
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