# analyze ap test problems to guide studying   7 videos

• #### Optimization Problems: Applications to Economics

##### CalculusApplications of the Derivative

How to use the optimization methods of calculus to optimize cost or revenue.

cost revenue average cost optimization methods closed interval method first derivative test second derivative test
• #### 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.

• #### Optimization Using the Second Derivative Test

##### CalculusApplications of the Derivative

How to compute the average velocity of an object moving in one dimension from a graph of its position vs. time.

• #### 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.

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

##### CalculusApplications of the Derivative

How to show that polynomial functions are continuous functions.

• #### Definite Integrals and Area

##### CalculusThe Definite Integral

How to use definite integrals to find the area between a curve or under a curve.

definite integral area problems area between curves
• #### Position, Velocity and Acceleration

##### CalculusAntiderivatives and Differential Equations

How to solve position, velocity and acceleration problems using differentiation equations.

differential equations derivatives position velocity acceleration