
Finding Inflection Points
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Easy
Patrick Antonucci
Used 1+ times
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6 questions
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1.
FLASHCARD QUESTION
Front
What is an inflection point?
Back
An inflection point is a point on a curve where the sign of the curvature (the concavity) changes.
2.
FLASHCARD QUESTION
Front
How do you find inflection points?
Back
To find inflection points, determine where the second derivative of a function changes sign.
3.
FLASHCARD QUESTION
Front
Why are inflection points important in calculus?
Back
Inflection points are important because they indicate where a function changes concavity, which can provide insights into the behavior of the function.
4.
FLASHCARD QUESTION
Front
What is the second derivative test?
Back
The second derivative test is a method used in calculus to determine whether a given critical point of a function is a local maximum, local minimum, or a saddle point by analyzing the sign of the second derivative at that point.
5.
FLASHCARD QUESTION
Front
What does it mean if the second derivative is positive?
Back
If the second derivative of a function is positive at a certain point, it indicates that the function is concave up at that point, suggesting a local minimum if it's a critical point.
6.
FLASHCARD QUESTION
Front
What does it mean if the second derivative is negative?
Back
If the second derivative of a function is negative at a certain point, it indicates that the function is concave down at that point, suggesting a local maximum if it's a critical point.
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