• #### 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)
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• #### 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
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• #### 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.
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• #### 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.
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• #### 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.
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• #### 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.
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• #### 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.
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• #### 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.
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• #### Curve Sketching with Derivatives - Concept

##### Math›Calculus›Applications of the Derivative
How to evaluate the limit of a function using continuity.
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• #### Curve Sketching with Derivatives - Problem 2

##### Math›Calculus›Applications of the Derivative
How to evaluate the limit of a function using continuity.
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• #### 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.
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• #### 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.
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• #### 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.
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• #### 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.
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