• #### Optimization Using the First Derivative Test - Problem 1

##### Math›Calculus›Applications of the Derivative
How to determine the oblique asymptote of the graph of a rational function.
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• #### Curve Sketching with Derivatives - Problem 4

##### 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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• #### The Second Derivative Test for Relative Maximum and Minimum - Concept

##### Math›Calculus›Applications of the Derivative
How to show that polynomial functions are continuous functions.
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• #### Optimization Using the Second Derivative Test - Concept

##### Math›Calculus›Applications of the Derivative
How to compute the average velocity of an object moving in one dimension from a graph of its position vs. time.
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• #### The Second Derivative Test for Relative Maximum and Minimum - Problem 2

##### Math›Calculus›Applications of the Derivative
How to show that compositions of continuous functions are continuous functions.
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• #### Optimization Using the First Derivative Test - Problem 3

##### Math›Calculus›Applications of the Derivative
How to compute the average velocity of an object moving in one dimension and how to represent average velocity on a graph.
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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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• #### Optimization Using the Second Derivative Test - Problem 3

##### Math›Calculus›Applications of the Derivative
How to compute the average rate of change of the amount of liquid in a tank over an interval of time, and how to represent this average rate on a graph.
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• #### Optimization Using the Second Derivative Test - Problem 1

##### Math›Calculus›Applications of the Derivative
How to determine intervals of time when the average velocity is negative or positive, and how to determine whether average velocity over one interval of time is greater than average velocity over another.
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• #### Economics: Marginal Cost & Revenue - Problem 2

##### Math›Calculus›Applications of the Derivative
How to interpret the derivatives of the revenue function as marginal revenue.
• #### Economics: Marginal Cost & Revenue - Concept

##### Math›Calculus›Applications of the Derivative
How to interpret the derivatives of the cost and revenue functions as marginal cost and marginal revenue.
• #### Optimization Problems: Applications to Economics - Concept

##### Math›Calculus›Applications of the Derivative
How to use the optimization methods of calculus to optimize cost or revenue.
• #### Economics: Marginal Cost & Revenue - Problem 1

##### Math›Calculus›Applications of the Derivative
How to interpret the derivatives of the cost and revenue functions as marginal cost and marginal revenue.
• #### Optimization Problems: Applications to Economics - Problem 3

##### Math›Calculus›Applications of the Derivative
How to use the optimization methods of calculus to optimize cost.
• #### Optimization Problems: Applications to Economics - Problem 2

##### Math›Calculus›Applications of the Derivative
How to use the optimization methods of calculus to optimize cost or revenue.
• #### Optimization Problems: Applications to Economics - Problem 1

##### Math›Calculus›Applications of the Derivative
How to use the optimization methods of calculus to optimize revenue.
• #### An Important Limit - Concept

##### Math›Calculus›The Derivative
How to interpret the value of a limit important in the derivative of exponential functions.
• #### Concavity and Inflection Points - Problem 3

##### Math›Calculus›Applications of the Derivative
How to determine intervals of concavity and find inflection points of function when its first derivative is a rational 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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