Find the extrema using the second derivative test
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Wayground Content
FREE Resource
The video tutorial explains how to identify critical values using the first and second derivative tests. It begins with finding critical values by setting the first derivative to zero and using the zero product property. The first derivative test is used to determine relative maxima and minima by analyzing sign changes. The second derivative test is introduced as a simpler alternative for some functions, focusing on concavity to identify extrema. The tutorial concludes with a discussion on interpreting results and the limitations of each test.
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3 questions
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1.
OPEN ENDED QUESTION
3 mins • 1 pt
What does the second derivative test help determine?
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2.
OPEN ENDED QUESTION
3 mins • 1 pt
How do you evaluate the second derivative at specific points?
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3.
OPEN ENDED QUESTION
3 mins • 1 pt
What conclusion can be drawn if the second derivative is equal to zero?
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