79 Videos for "the derivative function"

Derivatives of Polynomial Functions  Problem 2
Math › Calculus › The Derivative
How to compute the derivative of a polynomial function at a point, and how to find an equation of the line tangent to its graph at that point. 
Derivatives of Power Functions  Problem 3
Math › Calculus › The Derivative
How to compute the derivative of f(x) = x^(1/2) and how to find an equation of the line tangent to its graph at x= 9. 
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 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  Problem 2
Math › Calculus › The Derivative
How to estimate the derivative of a function at a point x=a. 
The Definition of the Derivative  Concept
Math › Calculus › The Derivative
How to define the derivative of a function at a point x=a. 
Curve Sketching with Derivatives  Problem 3
Math › Calculus › Applications of the Derivative
How to use sign charts of the first and second derivatives to sketch a graph of a product of functions, 9xe^(x/3) 
The First Derivative Test for Relative Maximum and Minimum  Problem 3
Math › Calculus › Applications of the Derivative
How to use the first derivative test to identify a rational function's relative maxima and minima 
The Second Derivative Test for Relative Maximum and Minimum  Problem 1
Math › Calculus › Applications of the Derivative
How to find the relative maxima and minima of a fourth degree polynomial function with three terms, using the second derivative test. 
Optimization Using the First Derivative Test  Problem 2
Math › Calculus › Applications of the Derivative
How to use the first derivative test to find the minimum value of some number a in a given function. 
The Second Derivative Test for Relative Maximum and Minimum  Problem 3
Math › Calculus › Applications of the Derivative
How to use the second derivative test to find the relative maxima and minima of a fourth degree polynomial function with five terms. 
The First Derivative Test for Relative Maximum and Minimum  Problem 1
Math › Calculus › Applications of the Derivative
How to use the first derivative test to identify what critical points are relative maxima and minima for the function, f(x) = x^3  6x^2  63x + 42. 
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. 
Curve Sketching with Derivatives  Concept
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function using continuity. 
Curve Sketching with Derivatives  Problem 2
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function using continuity. 
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. 
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. 
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 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.