In Spanish. This interactive unit is intended to show you how to calculate the derivative of a function and the application of the derivative in other sciences.

Students learn about the formal definition of the limit. A definition, proof, and examples with solutions are included.

In this interactive unit you will be able to understand the concept of continuity, determine whether a function is continuous from its graph and to distinguish the different types of discontinuities both graphically and analytical.

A collection of activities where students investigate mathematical modeling. Activities involve different types of functions, how to examine context and decide on a model, and limitations.

This lesson does a nice job of clarifying what it means to find a derivative. The lesson gives an algebraic method for finding the derivative using limits and offers a geometric interpretation of the derivative.

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...

Students input a function in either y= of f(x)= form, and then the site from WyzAnt does the rest! A detailed graph is shown in less than a second. Students can change the window used to view the graph as well as whether to have...

Students use the graph of a function to sketch the derivative and estimate limits. The example 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.

Practice exercise provides problems that review limits including how to use the definition to compute a limit.

Explore the triangle inequality theorem with this helpful reference tool. Provides a detailed definition and an interactive activity that enhances further explanation. Includes links to related topics.

This site gives the definition of a limit and many examples of finding delta given an epsilon to help clarify the process.

This activity takes a discontinuous, piecewise defined function and redefines it to make it continuous and differentiable at the point of discontinuity.

The derivative is applied to real world applications of velocity in an example using "h" notation and limits.

Students can use a graphing calculator to find points of discontinuity of a function and then create a new function that corrects the discontinuity. This allows students to complete the assignment with or without the use of the graphing...

In Spanish. In this interactive unit you will be able to tell if a function is continuous from its graph, understand the concept of continuity of functions and to distinguish between the different types of discontinuities either...

Students model the growth of a population and compare ideal growth with a population whose growth is limited. They use technology to find exponential and logistic regression equations and use them to plot models.

This page discusses the Leibniz Integral Rule, which concerns "the differentiation of a definite integral whose limits are functions of the differential variable."

The limit is the fundamental notion of calculus. This underlying concept is the thread that binds together virtually all of the calculus studied by the student. In this lesson, the student's knowledge of limits will be extended using...

This page offers visual aids to understand the existence of a limit to a function. The site briefly discusses left and right-hand limits.

Gain an understanding of limits with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.

In this activity, students examine data about bacteria and their growth. They produce a scatter plot, a best-fit model, and draw conclusions based on the data and graph.

Although Cape Verde has limited natural resources, read about the great strides it has made in developing a functional economy. Information is from the U.S. State Dept. Background Notes.

Definition of greatest integer function. Includes a visualization animation that requires LiveMath Notebook plugin.