• #### Economics: Cost & Revenue - Problem 1

##### Math›Calculus›Applications of the Derivative
How to determine intervals of time when the average rate of change is negative or positive, and how to compute average rate of change from a graph.
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• #### Economics: Cost & Revenue - Problem 3

##### Math›Calculus›Applications of the Derivative
How to estimate the instantaneous velocity of an object from a graph of position vs. time by computing slopes of secant lines over shorter and shorter intervals of time.
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• #### 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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• #### Optimization Using the First Derivative Test - Concept

##### Math›Calculus›Applications of the Derivative
How to evaluate the limit of a function as x goes to infinity (or minus infinity), and how to determine the horizontal asymptote of its graph.
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• #### Economics: Cost & Revenue - Concept

##### Math›Calculus›Applications of the Derivative
How to compute the average rate of change of the amount of a drug in a patient's bloodstream over an interval of time, and how to interpret whether the amount is increasing or decreasing over time.
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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 First Derivative Test for Relative Maximum and Minimum - Problem 2

##### Math›Calculus›Applications of the Derivative
How to find a vertical asymptote for the graph of a logarithmic function.
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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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• #### 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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• #### 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 Closed Interval Method - Problem 3

##### Math›Calculus›Applications of the Derivative
How to evaluate the limit of a function as x goes to infinity (or minus infinity), and how to determine the horizontal asymptote of its graph.
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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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• #### 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 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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