132 Videos for "derivatives"

Critical Points  Problem 2
Math › Calculus › Applications of the Derivative
How to determine onesided and twosided limits from the graph of a function. 
Critical Points  Problem 3
Math › Calculus › Applications of the Derivative
How to determine onesided and twosided limits from the graph of a function. 
Relative Maxima and Minima  Concept
Math › Calculus › Applications of the Derivative
How to use onesided limits to find a vertical asymptote. 
Critical Points  Problem 1
Math › Calculus › Applications of the Derivative
How to determine onesided and twosided limits from the graph of a function. 
Average Velocity  Concept
Math › Calculus › The Derivative
How to compute the average velocity of an object moving in one dimension. 
Concavity and Inflection Points  Concept
Math › Calculus › Applications of the Derivative
How to show that a function is discontinuous at a point x=a because it is not defined there. 
Concavity and Inflection Points  Problem 2
Math › Calculus › Applications of the Derivative
How to show that a function is discontinuous at a point x=a because its limit and its value at x=a are different. 
Concavity and Inflection Points  Problem 1
Math › Calculus › Applications of the Derivative
How to show that a function is discontinuous at a point x=a because the limit as x approaches a does not exist. 
Instantaneous Velocity  Concept
Math › Calculus › The Derivative
How to estimate the instantaneous velocity of an object at t=2 by computing average velocities over shorter and shorter intervals of time. 
Intervals of Increase and Decrease  Problem 1
Math › Calculus › Applications of the Derivative
How to use onesided limits to show that a limit does not exist. 
Concavity and Inflection Points  Problem 3
Math › Calculus › Applications of the Derivative
How to determine whether a function f(x) is continuous everywhere on its domain. 
Optimization Using the Closed Interval Method  Concept
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function at points where it is not continuous. 
Instantaneous Velocity  Problem 3
Math › Calculus › The Derivative
How to estimate instantaneous velocity when position and time are given in a table. 
Economics: Cost & Revenue  Problem 2
Math › Calculus › Applications of the Derivative
How to estimate the instantaneous velocity of an object at t=2 by computing average velocities over shorter and shorter intervals of time. 
Optimization Using the Closed Interval Method  Problem 1
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function at points where it is not continuous. 
Instantaneous Velocity  Problem 2
Math › Calculus › The Derivative
How to estimate the intervals of time when velocity is positive from a graph of position vs. time, and how to estimate when velocity is greatest. 
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 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. 
Average Velocity  Problem 1
Math › Calculus › The Derivative
How to compute the average velocity of an object moving in one dimension and how to represent average velocity on a graph. 
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.