18 Videos for "rate of change"

Instantaneous Rate of Change  Problem 1
Math › Calculus › The Derivative
How to estimate the instantaneous rate of change of the amount of a drug in a patient's bloodstream by computing average rates of change over shorter and shorter intervals of time, and how to represent this rate of change on a graph. 
Instantaneous Rate of Change  Problem 3
Math › Calculus › The Derivative
How to estimate instantaneous rate of decrease of a population when population and time are given in a table. 
Average Rate of Change  Problem 3
Math › Calculus › The Derivative
How to determine negative or positive average rate of change for certain time intervals, and how to compute average rate of change from a graph. 
Instantaneous Rate of Change  Concept
Math › Calculus › The 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  Problem 2
Math › Calculus › 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. 
Average Rate of Change  Concept
Math › Calculus › The Derivative
How to compute the average rate of change of a population over an interval of time. 
Average Rate of Change  Problem 1
Math › Calculus › The Derivative
How to compute the average rate of change of the amount of liquid in a tank over an interval of time, and how to represent this average rate on a graph. 
Instantaneous Rate of Change  Problem 2
Math › Calculus › The Derivative
How to estimate the instantaneous rate of change of a quantity by measuring the slopes of tangent lines on a graph of quantity vs. time. 
Definite Integrals As Net Change  Problem 1
Math › Calculus › The Definite Integral
How to use the fundamental theorem of calculus to compute the net change given the rate. 
Definite Integrals As Net Change  Concept
Math › Calculus › The Definite Integral
How to use the fundamental theorem of calculus to compute the net change of a quantity. 
Definite Integrals As Net Change  Problem 3
Math › Calculus › The Definite Integral
How to use the net change theorem to graph a function given the graph of its derivative. 
Definite Integrals As Net Change  Problem 2
Math › Calculus › The Definite Integral
How to use the fundamental theorem of calculus to compute the height of a skydiver above the ground at a certain time, given her initial velocity. 
The Definition of the Derivative  Concept
Math › Calculus › The Derivative
How to define the derivative of a function at a point x=a. 
Economics: Cost & Revenue  Problem 1
Math › Calculus › Applications of the Derivative
How to determine intervals of time when the average rate of change is negative or positive, and how to compute average rate of change from a graph. 
Optimization Using the Second Derivative Test  Problem 3
Math › Calculus › Applications of the Derivative
How to compute the average rate of change of the amount of liquid in a tank over an interval of time, and how to represent this average rate on a graph. 
Acceleration
Science › Physics › Linear and Projectile Motion
Understanding the acceleration of an object. 
Economics: Cost & Revenue  Concept
Math › Calculus › Applications 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.