# total distance time   6 videos

• #### Average Rate of Change

##### CalculusThe Derivative

How to compute the average rate of change of a population over an interval of time.

average rate of change population time change in population change in time population models rate of increase
• #### Instantaneous Velocity

##### CalculusThe Derivative

How to estimate the instantaneous velocity of an object at t=2 by computing average velocities over shorter and shorter intervals of time.

average velocity instantaneous velocity change in position change in time limits
• #### Average Velocity

##### CalculusThe Derivative

How to compute the average velocity of an object moving in one dimension.

average velocity position height time change in position change in time
• #### Instantaneous Rate of Change

##### CalculusThe Derivative

How to estimate the instantaneous rate liquid is pouring out of a container at t=4 by computing average rates of change over shorter and shorter intervals of time.

average rate of change instantaneous rate of change change in quantity change in time limits
• #### Economics: Cost & Revenue

##### CalculusApplications 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.

• #### 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.