AP Calculus AB Review

Front

What is the definition of a limit in calculus?

Back

A limit is a value that a function approaches as the input approaches some value.

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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.

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.

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.

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.

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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.

Front

What is the second derivative test?

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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.

Front

What is the integral of a function?

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The integral of a function represents the area under the curve of the function on a given interval.

Front

What is the relationship between acceleration, velocity, and position?

Back

Acceleration is the derivative of velocity, and velocity is the derivative of position. Thus, position can be found by integrating velocity, and velocity can be found by integrating acceleration.

Front

What is the power rule for differentiation?

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