132 Videos for "derivatives"

Optimization Using the First Derivative Test  Concept
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 First Derivative Test  Problem 3
Math › Calculus › Applications of the Derivative
How to compute the average velocity of an object moving in one dimension and how to represent average velocity on a graph. 
Optimization Using the Second Derivative Test  Problem 2
Math › Calculus › Applications of the Derivative
How to compute the average rate of change of a population over an interval of time. 
Optimization Using the Second Derivative Test  Concept
Math › Calculus › Applications 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  Problem 2
Math › Calculus › Applications of the Derivative
How to find a vertical asymptote for the graph of a logarithmic function. 
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. 
The First Derivative Test for Relative Maximum and Minimum  Problem 1
Math › Calculus › Applications of the Derivative
How to use an algebraic approach to find onesided limits of a rational function, and how these limits can be used to find a vertical asymptote. 
The First Derivative Test for Relative Maximum and Minimum  Problem 3
Math › Calculus › Applications of the Derivative
How to determine whether a function f(x) is continuous at a particular point x=a. 
The First Derivative Test for Relative Maximum and Minimum  Concept
Math › Calculus › Applications of the Derivative
How to use an algebraic approach to find onesided limits of a rational function, and how these limits can be used to find a vertical asymptote. 
Optimization Using the Second Derivative Test  Problem 1
Math › Calculus › Applications of 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. 
Economics: Marginal Cost & Revenue  Concept
Math › Calculus › Applications of the Derivative
How to interpret the derivatives of the cost and revenue functions as marginal cost and marginal revenue. 
Economics: Marginal Cost & Revenue  Problem 2
Math › Calculus › Applications of the Derivative
How to interpret the derivatives of the cost and revenue functions as marginal cost and marginal revenue. 
Economics: Marginal Cost & Revenue  Problem 1
Math › Calculus › Applications of the Derivative
How to interpret the derivatives of the cost and revenue functions as marginal cost and marginal revenue. 
Optimization Problems: Applications to Economics  Concept
Math › Calculus › Applications of the Derivative
How to use the optimization methods of calculus to optimize cost or revenue. 
Optimization Problems: Applications to Economics  Problem 3
Math › Calculus › Applications of the Derivative
How to use the optimization methods of calculus to optimize cost or revenue. 
Optimization Problems: Applications to Economics  Problem 2
Math › Calculus › Applications of the Derivative
How to use the optimization methods of calculus to optimize cost or revenue. 
Optimization Problems: Applications to Economics  Problem 1
Math › Calculus › Applications of the Derivative
How to use the optimization methods of calculus to optimize cost or revenue. 
An Important Limit  Concept
Math › Calculus › The Derivative
How to interpret the value of a limit important in the derivative of exponential functions. 
Critical Points  Concept
Math › Calculus › Applications of the Derivative
How to find a twosided limit by investigating onesided limits. 
Intervals of Increase and Decrease  Concept
Math › Calculus › Applications of the Derivative
How to estimate a limit using a table of values.