# none   115 videos

• #### Intervals of Increase and Decrease

##### CalculusApplications of the Derivative

How to estimate a limit using a table of values.

• #### Critical Points

##### CalculusApplications of the Derivative

How to find a two-sided limit by investigating one-sided limits.

• #### Relative Maxima and Minima

##### CalculusApplications of the Derivative

How to use one-sided limits to find a vertical asymptote.

• #### The First Derivative Test for Relative Maximum and Minimum

##### CalculusApplications 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.

• #### Concavity and Inflection Points

##### CalculusApplications of the Derivative

How to show that a function is discontinuous at a point x=a because it is not defined there.

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

##### CalculusApplications of the Derivative

How to show that polynomial functions are continuous functions.

• #### Curve Sketching with Derivatives

##### CalculusApplications of the Derivative

How to evaluate the limit of a function using continuity.

• #### Optimization Using the Closed Interval Method

##### CalculusApplications of the Derivative

How to evaluate the limit of a function at points where it is not continuous.

• #### Optimization Using the First Derivative Test

##### CalculusApplications 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.