
Critical Points and Derivatives

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard

Sophia Harris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the function F(x) given in the problem?
x^2 + Kx
1/x^2 - Kx
x^2 - Kx
1/x^2 + Kx
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean for a function to have a critical point at a certain x-value?
The derivative is zero or undefined at that x-value.
The function has a maximum at that x-value.
The function has a minimum at that x-value.
The function is not defined at that x-value.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the expression for the derivative F'(x) in terms of K?
K + 2x over x^2 - Kx
K - 2x over x^2 + Kx
K + 2x over x^2 + Kx
K - 2x over x^2 - Kx
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What value of K makes the derivative F'(-5) equal to zero?
-5
5
-10
10
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why can't K = 5 be a critical point for x = -5?
Because it makes the derivative zero.
Because it makes the function undefined at x = -5.
Because it makes the derivative undefined.
Because it makes the function zero.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens if the denominator of the derivative is zero?
The derivative is undefined.
The function is undefined.
The derivative is zero.
The function is zero.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the condition for a critical point to be valid?
The function must be zero at that point.
The derivative must be zero or undefined at that point.
The function must be defined at that point.
The derivative must be defined at that point.
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