74 Videos for "the derivative function"

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. 
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. 
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. 
An Important Limit  Concept
Math › Calculus › The Derivative
How to interpret the value of a limit important in the derivative of exponential functions. 
Chain Rule: The General Logarithm Rule  Problem 1
Math › Calculus › Techniques of Differentiation
How to differentiate a composite function when the outside function is the natural logarithm. 
The Product Rule  Concept
Math › Calculus › Techniques of Differentiation
How to differentiate a product of two functions. 
Critical Points  Problem 3
Math › Calculus › Applications of the Derivative
How to determine onesided and twosided limits from the graph of a function. 
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. 
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. 
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. 
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. 
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 1
Math › Calculus › Applications of the Derivative
How to determine onesided and twosided limits from the graph of a function. 
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  Problem 1
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function at points where it is not continuous. 
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. 
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. 
Chain Rule: The General Logarithm Rule  Concept
Math › Calculus › Techniques of Differentiation
How to differentiate a composite function when the outside function is the natural logarithm. 
Chain Rule: The General Logarithm Rule  Problem 2
Math › Calculus › Techniques of Differentiation
How to differentiate a composite function when the outside function is the natural logarithm with the help of natural logs.