Connecting f, f', and f''
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What does it mean if f'(x) < 0?
Back
The function f(x) is decreasing at that interval.
Tags
CCSS.HSF.LE.B.5
2.
FLASHCARD QUESTION
Front
What does it mean if f'(x) > 0?
Back
The function f(x) is increasing at that interval.
Tags
CCSS.HSF.IF.B.4
3.
FLASHCARD QUESTION
Front
What does it mean if f''(x) < 0?
Back
The function f(x) is concave down at that interval.
Tags
CCSS.HSF.LE.B.5
4.
FLASHCARD QUESTION
Front
What does it mean if f''(x) > 0?
Back
The function f(x) is concave up at that interval.
Tags
CCSS.HSF.LE.B.5
5.
FLASHCARD QUESTION
Front
What is a local maximum?
Back
A point where the function changes from increasing to decreasing.
6.
FLASHCARD QUESTION
Front
What is a local minimum?
Back
A point where the function changes from decreasing to increasing.
7.
FLASHCARD QUESTION
Front
What is a point of inflection?
Back
A point where the function changes concavity.
Tags
CCSS.HSF-IF.C.7A
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