• #### 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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• #### 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 - 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.
• #### 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.
• #### 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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• #### An Important Limit - Concept

##### Math›Calculus›The Derivative
How to interpret the value of a limit important in the derivative of exponential functions.
• #### Chain Rule: The General Logarithm Rule - Problem 1

##### Math›Calculus›Techniques of Differentiation
How to differentiate a composite function when the outside function is the natural logarithm.
• #### The Product Rule - Concept

##### Math›Calculus›Techniques of Differentiation
How to differentiate a product of two functions.
• #### 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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• #### Intervals of Increase and Decrease - Problem 2

##### Math›Calculus›Applications of the Derivative
How to determine the intervals where a function decreases.
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• #### Critical Points - Problem 2

##### Math›Calculus›Applications of the Derivative
How to find the critical points of a product of functions.
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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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• #### Concavity and Inflection Points - Concept

##### Math›Calculus›Applications of the Derivative
How to show that a function is discontinuous at a point x=a because it is not defined there.
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• #### 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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• #### Concavity and Inflection Points - Problem 2

##### Math›Calculus›Applications of the Derivative
How to show that a function is discontinuous at a point x=a because its limit and its value at x=a are different.
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• #### Optimization Using the Closed Interval Method - Problem 1

##### 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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• #### Economics: Cost & Revenue - Problem 2

##### Math›Calculus›Applications of the Derivative
How to use economic equations to analyze costs, revenues, fixed costs, variable costs, break-even points and profits with an average cost function
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• #### Optimization Using the Closed Interval Method - Problem 2

##### Math›Calculus›Applications of the Derivative
How to optimize area using the closed interval method on a function.
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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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• #### Chain Rule: The General Logarithm Rule - Concept

##### Math›Calculus›Techniques of Differentiation
How to differentiate a composite function when the outside function is the natural logarithm.