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...

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.

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.

Students use the graph of the derivative to sketch the original function and second derivative. The graph is available in PDF format.

Learners use the graph of the derivative to sketch the original function and second derivative. The graph is available in PDF format.

Students use the graph of the derivative to approximate the slope, relative minimum, concavity, and inflection points. The exercise is available in PDF format.

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.

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.

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.

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.

Students sketch the graph of the derivative and examine the limits of a given function. The example is available in PDF format.

Students use the graph of a function to sketch the derivative and estimate limits. The example is available in PDF format.

[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...

The interactive tutorial investigates the graph of the derivative of tan (x).

Second derivative description, examples, and interactive graphing.

A good worksheet for students to practice their first derivative skills. Allows you to check your answers by clicking the "solution" box.

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.

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...

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...

A description, examples, and graphs on the subject of "derived demand" are provided.

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...

Learn about the graphing of functions through useage of the first and second derivatives.

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.

Students enter functions into the grapher. The resource allows students to compute derivatives, graph derivatives, trace curves, compute function values, and add plotted points.