132 Videos for "derivative"

Intervals of Increase and Decrease  Problem 2
Math › Calculus › Applications of the Derivative
How to use onesided limits to show that the limit exists by showing that the the lefthand limit must equal the righthand limit. 
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. 
Economics: Cost & Revenue  Problem 3
Math › Calculus › Applications of the Derivative
How to estimate the instantaneous velocity of an object from a graph of position vs. time by computing slopes of secant lines over shorter and shorter intervals of time. 
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. 
Optimization Using the Closed Interval Method  Problem 2
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. 
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. 
Average Rate of Change  Problem 3
Math › Calculus › 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. 
Intervals of Increase and Decrease  Problem 3
Math › Calculus › Applications of the Derivative
How to show that the limit does not exist by showing that the lefthand limit does not equal the righthand limit. 
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 Velocity  Problem 3
Math › Calculus › The Derivative
How to determine intervals of time when the average velocity is negative or positive, and how to determine whether average velocity over one interval of time is greater than average velocity over another. 
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. 
Instantaneous Velocity  Problem 1
Math › Calculus › The Derivative
How to estimate the instantaneous velocity of an object from a graph of position vs. time by computing slopes of secant lines over shorter and shorter intervals of time. 
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. 
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 1
Math › Calculus › The Derivative
How to estimate the instantaneous rate of change of the amount of a drug in a patient's bloodstream computing average rates of change over shorter and shorter intervals of time, and how to represent this rate of change on a graph. 
The Product Rule  Concept
Math › Calculus › Techniques of Differentiation
How to differentiate a product of two functions. 
Antidifferentiation  Concept
Math › Calculus › Antiderivatives and Differential Equations
How to find an antiderivative of a function. 
Antidifferentiation  Problem 1
Math › Calculus › Antiderivatives and Differential Equations
How to find an antiderivative of a function. 
Antidifferentiation  Problem 2
Math › Calculus › Antiderivatives and Differential Equations
How to find an antiderivative of a function.