2nd Derivative Applications & Derivative Graphs
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What does it mean if f''(x) < 0 over an interval?
Back
f(x) is concave down over that interval.
2.
FLASHCARD QUESTION
Front
How do you determine points of inflection for a function g(x)?
Back
Points of inflection occur where the second derivative g''(x) changes sign.
3.
FLASHCARD QUESTION
Front
What indicates that a function f(x) is increasing?
Back
f'(x) > 0 (positive) indicates that f(x) is increasing.
4.
FLASHCARD QUESTION
Front
What is the relationship between a graph being increasing and its derivative?
Back
When a graph is increasing, its derivative f'(x) is positive.
5.
FLASHCARD QUESTION
Front
What is the relationship between a graph being decreasing and its derivative?
Back
When a graph is decreasing, its derivative f'(x) is negative.
6.
FLASHCARD QUESTION
Front
What does a positive second derivative f''(x) indicate about the concavity of f(x)?
Back
f(x) is concave up.
7.
FLASHCARD QUESTION
Front
How can you find the intervals where a function is concave up?
Back
Find where f''(x) > 0.
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