74 Videos for "the derivative function"

Derivatives of Power Functions  Problem 2
Math › Calculus › The Derivative
How to compute the derivative of f(x) = x^(2) and how to find an equation of the line tangent to its graph at x= 2. 
Derivatives of Logarithmic Functions  Problem 2
Math › Calculus › The Derivative
How to find an equation of the line tangent to the graph of f(x)=ln(x) at a point, and how to use the tangent to approximate values of natural log. 
The Definition of the Derivative  Problem 2
Math › Calculus › The Derivative
How to estimate the derivative of a function at a point x=a. 
The Definition of the Derivative  Problem 1
Math › Calculus › The Derivative
How to compute the derivative of a function at a point x=a using the definition of the derivative. 
The Definition of the Derivative  Concept
Math › Calculus › The Derivative
How to define the derivative of a function at a point x=a. 
The Second Derivative Test for Relative Maximum and Minimum  Concept
Math › Calculus › Applications of the Derivative
How to show that polynomial functions are continuous functions. 
The Second Derivative Test for Relative Maximum and Minimum  Problem 2
Math › Calculus › Applications of the Derivative
How to show that compositions of continuous functions are continuous functions. 
The Second Derivative Test for Relative Maximum and Minimum  Problem 1
Math › Calculus › Applications of the Derivative
How to show that rational functions are continuous functions. 
Curve Sketching with Derivatives  Problem 3
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function at points where it is not continuous. 
Curve Sketching with Derivatives  Problem 1
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function using continuity. 
Curve Sketching with Derivatives  Concept
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function using continuity. 
Optimization Using the First Derivative Test  Problem 1
Math › Calculus › Applications of the Derivative
How to determine the oblique asymptote of the graph of a rational function. 
Curve Sketching with Derivatives  Problem 4
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function at points where it is not continuous. 
Curve Sketching with Derivatives  Problem 2
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function using continuity. 
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. 
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. 
The Second Derivative Test for Relative Maximum and Minimum  Problem 3
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function using continuity. 
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.