79 Videos for "the derivative function"

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. 
Economics: Marginal Cost & Revenue  Problem 2
Math › Calculus › Applications of the Derivative
How to interpret the derivatives of the revenue function as 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. 
Concavity and Inflection Points  Problem 3
Math › Calculus › Applications of the Derivative
How to determine intervals of concavity and find inflection points of function when its first derivative is a rational function. 
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 1
Math › Calculus › Applications of the Derivative
How to determine onesided and twosided limits from the graph of a function. 
Intervals of Increase and Decrease  Problem 2
Math › Calculus › Applications of the Derivative
How to determine the intervals where a function decreases. 
Critical Points  Problem 2
Math › Calculus › Applications of the Derivative
How to find the critical points of a product of 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  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. 
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  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  Problem 1
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function at points where it is not continuous. 
Economics: Cost & Revenue  Problem 2
Math › Calculus › Applications of the Derivative
How to use economic equations to analyze costs, revenues, fixed costs, variable costs, breakeven points and profits with an average cost function 
Optimization Using the Closed Interval Method  Problem 2
Math › Calculus › Applications of the Derivative
How to optimize area using the closed interval method on a function. 
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. 
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.