What does the derivative represent in calculus?
2.1 Definition of Derivative

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Mathematics
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11th - 12th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
Back
The derivative represents the slope of the tangent line to the graph of a function at a given point.
2.
FLASHCARD QUESTION
Front
What is the limit definition of the derivative?
Back
3.
FLASHCARD QUESTION
Front
What is a tangent line?
Back
A tangent line is a line that touches a function at a given point and has a slope equal to the instantaneous rate of change of the function at that point.
4.
FLASHCARD QUESTION
Front
What is a normal line?
Back
A normal line is a line that is perpendicular to the tangent line at a given point on the function.
5.
FLASHCARD QUESTION
Front
How do you find the derivative of a function at a specific point using limits?
Back
6.
FLASHCARD QUESTION
Front
What is the relationship between the derivative and the slope of a curve?
Back
The derivative at a point gives the slope of the tangent line to the curve at that point, indicating the rate of change of the function.
7.
FLASHCARD QUESTION
Front
If f'(x) > 0, what does this indicate about the function f?
Back
If f'(x) > 0, it indicates that the function f is increasing at that point.
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