• #### Continuous Functions - Problem 1

##### Math›Calculus›Limits and Continuity
How to show that polynomial functions are continuous functions by checking the properties of continuous functions.
• #### Continuous Functions - Problem 3

##### Math›Calculus›Limits and Continuity
How to show that compositions of continuous functions are continuous functions by checking continuity rules for the composition.
• #### Intervals of Increase and Decrease - Problem 3

##### Math›Calculus›Applications of the Derivative
How to show that the limit does not exist by showing that the left-hand limit does not equal the right-hand limit.
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• #### Critical Points - Concept

##### Math›Calculus›Applications of the Derivative
How to find a two-sided limit by investigating one-sided limits.
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• #### Intervals of Increase and Decrease - Problem 1

##### Math›Calculus›Applications of the Derivative
How to use one-sided limits to show that a limit does not exist.
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• #### The First Derivative Test for Relative Maximum and Minimum - Concept

##### Math›Calculus›Applications of the Derivative
How to use an algebraic approach to find one-sided limits of a rational function, and how these limits can be used to find a vertical asymptote.
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• #### Critical Points - Problem 3

##### Math›Calculus›Applications of the Derivative
How to determine one-sided and two-sided limits from the graph of a function.
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• #### Intervals of Increase and Decrease - Concept

##### Math›Calculus›Applications of the Derivative
How to estimate a limit using a table of values.
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• #### The Derivative Function - Concept

##### Math›Calculus›The Derivative
How to define the derivative function f'(x).
• #### The Definition of the Derivative - Problem 1

##### Math›Calculus›The Derivative
How to compute the derivative of a function at a point x=a using the definition of the derivative.
• #### The Definition of the Derivative - Problem 2

##### Math›Calculus›The Derivative
How to estimate the derivative of a function at a point x=a.
• #### Relative Maxima and Minima - Concept

##### Math›Calculus›Applications of the Derivative
How to use one-sided limits to find a vertical asymptote.
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• #### The Definite Integral - Concept

##### Math›Calculus›The Definite Integral
How to define the definite integral.
• #### Critical Points - Problem 1

##### Math›Calculus›Applications of the Derivative
How to determine one-sided and two-sided limits from the graph of a function.
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• #### Curve Sketching with Derivatives - Concept

##### Math›Calculus›Applications of the Derivative
How to evaluate the limit of a function using continuity.
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• #### The Definition of the Derivative - Concept

##### Math›Calculus›The Derivative
How to define the derivative of a function at a point x=a.
• #### Derivatives of Exponential Functions - Concept

##### Math›Calculus›The Derivative
How to use the definition of the derivative to find a derivative formula for exponential functions.
• #### The Derivative Function - Problem 1

##### Math›Calculus›The Derivative
How to use the definition of the derivative to find a formula for the derivative function.
• #### Instantaneous Velocity - Concept

##### Math›Calculus›The Derivative
How to estimate the instantaneous velocity of an object at t=2 by computing average velocities over shorter and shorter intervals of time.
• #### Optimization Using the Closed Interval Method - Concept

##### Math›Calculus›Applications of the Derivative
How to evaluate the limit of a function at points where it is not continuous.
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