University of Vienna (Austria)
University of Vienna: The Big Derivative Puzzle
Given a set of four graphs, match each graph with the graph of it's derivative. This exercise helps to visualize the relationship between a graph and it's derivative, and over 50 graphs are available (although only four are used at one...
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.
Mathematics Archives
Math Archives: Visual Calculus: Tangent Lines to Polar Graphs
This site give the formula for finding the slope of the tangent line to a polar graph. The page offers step by step explanations and worked examples.
TeachEngineering
Teach Engineering: A Lego Introduction to Graphing
Students use a LEGO ball shooter to demonstrate and analyze the motion of a projectile through use of a line graph. This activity involves using a method of data organization and trend observation with respect to dynamic experimentation...
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.
Math Graphs
Houghton Mifflin: Math Graphs: Derivative Graph 5 [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.
Math Graphs
Houghton Mifflin: Math Graphs: Derivative Graph 2 [Pdf]
Students use the graph of the derivative to sketch the original function and second derivative. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Derivative Graph 3 [Pdf]
Students use the graph of the derivative to sketch the original function and second derivative. The graph is available in PDF format.
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.
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: Derivative Graph 1 [Pdf]
Students use the graph of the derivative to answer questions regarding the original function. Maximum, minimum, concavity, and slope are investigated. The handout is available in PDF format.
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 and Limits [Pdf]
Students sketch the graph of the derivative and examine the limits of a given function. The example is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Derivative and Limits [Pdf]
Students use the graph of a function to sketch the derivative and estimate limits. The example is available in PDF format.
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...
Analyze Math
Analyze Math: Derivative of Tan(x)
The interactive tutorial investigates the graph of the derivative of tan (x).
Math Is Fun
Math Is Fun: Second Derivative
Second derivative description, examples, and interactive graphing.
Mathematics Archives
Math Archives: Visual Calculus: Drill First Derivative Test
A good worksheet for students to practice their first derivative skills. Allows you to check your answers by clicking the "solution" box.
Interactive Mathematics
Interactive Mathematics: The Derivative
The examples presented here demonstrates finding the derivative of a function using "h" rather than "delta x" notation. Graphs are included as a visual aid.
Texas Instruments
Texas Instruments: Graphing Relationships
In this activity, students explore information about a graph based on the first and second derivatives. They learn that a function's derivative is positive when the function increases and negative when the function decreases. They learn...
Texas Instruments
Texas Instruments: The Derivative as a Limit
Read about the near-simultaneous discovery of Calculus by Liebniz and Newton, then see some examples worked through of finding derivatives of functions using the limit definition of derivative. Following the examples are exercises with...
Robert Schenk, PhD
Derived Demand
A description, examples, and graphs on the subject of "derived demand" are provided.
Texas Education Agency
Texas Gateway: Kinematics: Graphical Analysis of One Dimensional Motion
By the end of this section, you will be able to describe a straight-line graph in terms of its slope and y-intercept, determine average velocity or instantaneous velocity from a graph of position vs. time, determine average or...