What is the definition of a limit in calculus?
AP Calculus AB Review

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Mathematics
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11th Grade
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1.
FLASHCARD QUESTION
Front
Back
A limit is a value that a function approaches as the input approaches some value.
2.
FLASHCARD QUESTION
Front
What does DNE stand for in the context of limits?
Back
DNE stands for 'Does Not Exist', indicating that a limit does not approach a finite value.
3.
FLASHCARD QUESTION
Front
What is the Fundamental Theorem of Calculus?
Back
The Fundamental Theorem of Calculus links the concept of differentiation and integration, stating that if a function is continuous on [a, b], then the integral of its derivative over that interval equals the difference in the values of the function at the endpoints.
4.
FLASHCARD QUESTION
Front
How do you find the derivative of a function?
Back
To find the derivative of a function, apply the limit definition of the derivative or use differentiation rules such as the power rule, product rule, quotient rule, and chain rule.
5.
FLASHCARD QUESTION
Front
What is a relative maximum?
Back
A relative maximum is a point in the domain of a function where the function value is greater than the values of the function at nearby points.
6.
FLASHCARD QUESTION
Front
What is a relative minimum?
Back
A relative minimum is a point in the domain of a function where the function value is less than the values of the function at nearby points.
7.
FLASHCARD QUESTION
Front
What is the second derivative test?
Back
The second derivative test is a method to determine whether a critical point is a relative maximum, minimum, or neither by evaluating the sign of the second derivative at that point.
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