Khan Academy
Khan Academy: Analyzing the Second Derivative to Find Inflection Points
Learn how the second derivative of a function is used in order to find the function's inflection points. Learn which common mistakes to avoid in the process.
Wolfram Research
Wolfram Math World: Second Derivative Test
MathWorld.com has definitions, formulas, and links to relevant sites for derivatives.
Harvey Mudd College
Harvey Mudd College: Concavity and the Second Derivative Test
An excellent tutorial explaining concavity and the second derivative test, including a labeled diagram, examples, and links to a quiz.
CK-12 Foundation
Ck 12: Using the First and Second Derivative Tests
[Free Registration/Login may be required to access all resource tools.] This resource gives a step by step account of how to apply knowledge from First and Second Derivative Tests to sketch graphs of functions. The following table...
![Houghton Mifflin: Math Graphs: Sketching Derivative & Second Derivative 1 [Pdf] Unknown Type](https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png "Houghton Mifflin: Math Graphs: Sketching Derivative & Second Derivative 1 [Pdf] Unknown Type")
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Derivative & Second Derivative 1 [Pdf]
Learners use the graph of the original function to sketch the graphs of the derivative and second derivative. The resource consists of an enlarged printable version of a math graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Derivative & Second Derivative 2 [Pdf]
Learners use the graph of the original function to sketch the graphs of the derivative and second derivative. The resource consists of an enlarged printable version of a math graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Derivative & Second Derivative 4 [Pdf]
Learners use the graph of the original function to sketch the graphs of the derivative and second derivative. The resource consists of an enlarged printable version of a math graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Derivative & Second Derivative 5 [Pdf]
Learners sketch the graphs of the derivative and second derivative from the original function. The practice exercise is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Derivative & Second Derivative 6 [Pdf]
Learners sketch the graphs of the derivative and second derivative from the original function. The practice exercise is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Derivative & Second Derivative 7 [Pdf]
The practice exercise examines how to sketch the graphs of the derivative and second derivative from the original function. The example is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Derivative & Second Derivative 8 [Pdf]
The practice exercise examines how to sketch the graphs of the derivative and second derivative from the original function. The example is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Derivative & Second Derivative 11 [Pdf]
The handout asks learners to sketch the graphs of the derivative and second derivative. The resource consists of an enlarged printable version of a graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Derivative & Second Derivative 12 [Pdf]
The handout asks learners to sketch the graphs of the derivative and second derivative. The resource consists of an enlarged printable version of a graph 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: Sketching Derivative & Second Derivative 15 [Pdf]
Students sketch the graphs of the derivative and second derivative of a given function. The example is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Derivative & Second Derivative 16 [Pdf]
Students sketch the graphs of the derivative and second derivative of a given function. The example is 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: Sketching Derivative & Second Derivative 3 [Pdf]
Learners use the graph of the original function to sketch the graphs of the derivative and 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, & 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: Second Derivative Graph 1 [Pdf]
A graph of the second derivative is given and learners are asked to sketch the graphs of the first derivative and original function. The handout is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Second Derivative Graph 3 [Pdf]
The exercise has students sketch the graph of a function and derivative using the graph of the second derivative. The example is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Function, Derivative, & Second Derivative 13 [Pdf]
Students investigate the criteria used to identify the graphs of the original function and its first and second derivative. All graphs are on the same coordinate plane and are available in PDF format.