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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 students 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 learners 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.
Math Graphs
Houghton Mifflin: Math Graphs: Function, Derivative, & Second Derivative 14 [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.
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 Graphs
Houghton Mifflin: Math Graphs: Second Derivative Graph 2 [Pdf]
The exercise has students sketch the graph of a function using the graph of the second derivative. The example is available in PDF format.
Texas Instruments
Texas Instruments: Relating Graphs of a Function to Derivatives
Students will be lead to discover the relationship between the graph of a function, graph of first derivative, and graph of the second derivative using TI-InterActive!.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Derivatives
Hotmath provides 26 practice problems dealing with derivatives and their graphs. Each of the practice problems include a step-by-step guide for solving their derivative.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Applications of Derivatives
Hotmath provides 25 practice problems dealing with derivative applications. Each of the practice problems include a step-by-step guide.
Interactive Mathematics
Interactive Mathematics: Higher Derivatives
Examples of taking the second derivatives of functions is presented and applied a the real world problem involving acceleration.
Math Graphs
Houghton Mifflin: Math Graphs: Derivative and Second Derivative [Pdf]
Students use the graph of the derivative to approximate the slope, relative minimum, concavity, and inflection points. The exercise is available in PDF format.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Topic Summaries: Applications of the Derivative
The topic summary outlines derivate applications. Some topics reviewed are second derivative, relative extrema, and related rates. The resource consists of definitions, notes, and examples.
Math Graphs
Houghton Mifflin: Math Graphs: Derivative Graph 4 [Pdf]
The practice exercise has learners use a given graph of the derivative to sketch the original function and second derivative graphs. The resource consists of an enlarged printable version of a derivative graph available in PDF format.