University of California
U of Ca, Davis: Graphing Functions Using Derivatives
Learn about the graphing of functions through useage of the first and second derivatives.
Mathematics Archives
Math Archives: Visual Calculus: Graph a Function, Its Second Derivative
This online tutorial site shows that the concavity of a function is related to the second derivative of the function by using an online graphing system. Inflection points are also briefly discussed.
Hofstra University
Hofstra University: An Introduction to the Derivative
This lesson from the Hofstra University discusses the derivative. The lesson begins with the average rate of change of a function and discusses how this is related to the derivative of a function at a point. The site gives visual aids...
Walter Fendt
Walter Fendt: First and Second Derivative of a Function
A short interactive activity to visualize the first and second derivative of a function of your choice.
Math Open Reference
Math Open Reference: Derivatives of the Trigonometric Functions
Gain an understanding of the derivatives of the six common trigonometric functions with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Math Graphs
Houghton Mifflin: Math Graphs: Derivative and Continuity 1 [Pdf]
Learners are given two parts of the graph of a continuous differentiable function and examine the zeros, conditions of continuity, and a sketch of the derivative. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Derivative and Continuity 2 [Pdf]
Learners are given two parts of the graph of a continuous differentiable function and examine the zeros, conditions of continuity, and a sketch of the derivative. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Derivative of a Graph [Pdf]
Students examine the derivative of a graph and the relationship between the derivative and the original function. The practice exercise is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Derivative & Second Derivative 13 [Pdf]
The handout investigates a sketch of a function?s derivative and second derivative. The exercise includes an enlarged printable version of the original function graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Derivative & Second Derivative 14 [Pdf]
The handout investigates a sketch of a function?s derivative and second derivative. The exercise includes an enlarged printable version of the original function graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Function, Derivative, & Second Derivative 12 [Pdf]
Learners identify between a function graph, its derivative, and its second derivative. The graphs are available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Function, Derivative, & Second Derivative 11 [Pdf]
Learners identify between a function graph, its derivative, and its second derivative. The graphs are available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Function, Derivative [Pdf]
Learners identify the graphs of the function, its derivative, and its second derivative. The resource consists of an enlarged printable version of a math graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Function, Derivative [Pdf]
Students identify the graphs of the function, its derivative, and its second derivative. The resource consists of an enlarged printable version of a math graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Function, Derivative Graphs 3 [Pdf]
Students differentiate between the graphs of the function, its derivative, and its second derivative. The resource consists of an enlarged printable version of a math graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Function, Derivative Graphs 4 [Pdf]
Learners differentiate between the graphs of the function, its derivative, and its second derivative. The resource consists of an enlarged printable version of a math graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Function, Derivative Graphs 5 [Pdf]
Students use the graph of the derivative to determine the graphs of the original function and the second derivative. The example is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Function, Derivative Graphs 6 [Pdf]
Students use the graph of the derivative to determine the graphs of the original function and the second derivative. The example is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Function, Derivative Graphs 7 [Pdf]
The resource has students label the graphs of the function and its second derivative from the graph of the derivative. The example is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Function, Derivative Graphs 8 [Pdf]
The resource has students label the graphs of the function and its second derivative from the graph of the derivative. The example is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Two Functions 1 [Pdf]
The handout consists of a graph of the derivative of a function. Scholars are asked to sketch the graphs of two functions that have the given derivative. The example is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Two Functions 2 [Pdf]
The practice exercise consists of a graph of the derivative of a function. Scholars are asked to sketch the graphs of two functions that have the given derivative. The handout is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Function, Derivative Graphs 9 [Pdf]
The handout examines the graphs of a function, its derivative, and its second derivative. The graphs are available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Function, Derivative 10 [Pdf]
The handout examines the graphs of a function, its derivative, and its second derivative. The graphs are available in PDF format.