Graphs of functions and their derivatives

Flashcard
•
Mathematics
•
11th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the derivative of a function?
Back
The derivative of a function is the instantaneous rate of change of the function with respect to its variable.
2.
FLASHCARD QUESTION
Front
What does a negative derivative indicate about a function?
Back
If a function has a negative derivative, it indicates that the function is decreasing.
Tags
CCSS.HSF.IF.B.4
3.
FLASHCARD QUESTION
Front
What does a positive derivative indicate about a function?
Back
If a function has a positive derivative, it indicates that the function is increasing.
Tags
CCSS.HSF.IF.B.4
4.
FLASHCARD QUESTION
Front
What is the relationship between a function and its derivative at a maximum point?
Back
At a maximum point, the derivative of the function is zero.
5.
FLASHCARD QUESTION
Front
What is the relationship between a function and its derivative at a minimum point?
Back
At a minimum point, the derivative of the function is zero.
6.
FLASHCARD QUESTION
Front
How can you determine the slope of a tangent line to a curve at a point?
Back
The slope of the tangent line to a curve at a point is given by the derivative of the function at that point.
7.
FLASHCARD QUESTION
Front
What is the graphical representation of a derivative?
Back
The graph of the derivative of a function shows the slope of the tangent line to the original function at each point.
Tags
CCSS.HSF.IF.B.4
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