• #### Optimization Using the First Derivative Test - Problem 2

##### Math›Calculus›Applications of the Derivative
How to use the first derivative test to find the minimum value of some number a in a given function.
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• #### The First Derivative Test for Relative Maximum and Minimum - Problem 3

##### Math›Calculus›Applications of the Derivative
How to use the first derivative test to identify a rational function's relative maxima and minima
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• #### The First Derivative Test for Relative Maximum and Minimum - Problem 1

##### Math›Calculus›Applications of the Derivative
How to use the first derivative test to identify what critical points are relative maxima and minima for the function, f(x) = x^3 - 6x^2 - 63x + 42.
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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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• #### 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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• #### 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 Problems: Applications to Economics - Concept

##### 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.
• #### 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.