Find the local extrema using the first derivative test

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Mathematics
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11th Grade - University
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Easy
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the critical values of a continuous function?
Set the function equal to zero
Find the derivative and set it to zero
Solve the function for x
Integrate the function
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When factoring the derivative, what can be factored out from the expression 2x^4 - 7x^3 - 4x^2?
x^3
2x
x^2
7x
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is a critical value of the function after factoring the derivative?
x = 3
x = 0
x = -2
x = 2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of creating a table when determining extrema?
To find the exact values of the function
To integrate the function
To solve the function for x
To check the signs of the derivative at various points
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a change from positive to negative in the derivative indicate?
A relative minimum
No change in the function
A point of inflection
A relative maximum
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
According to the first derivative test, what does a change from negative to positive in the derivative signify?
A relative maximum
A relative minimum
A point of inflection
No change in the function
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What property allows setting each factor of a product equal to zero to solve for x?
Zero sum property
Zero product property
Factorization property
Derivative property
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