Explore the world of Calculus through differentiation. Focusing on areas such as limits, tangents to curves, and derivatives, this site shows you how to solve problems based on the discoveries of Sir Isaac Newton and Gottfried Leibniz....

[Free Registration/Login may be required to access all resource tools.] Modeling of Linear and Quadratic Functions

A look at graphs of rational expressions, finding properties of the graph by using calculus. Formulas included.

Designed to help high school students to learn precalculus, topics include the formal rules of algebra, rational and irrational numbers and mathematical induction.

Students are introduced to logistic growth curves using a graphing calculator. Lab data includes the number of bacteria over a 20-hour period. The activity numerically approximates the derivative and uses regression to find a curve...

Students learn to define a Taylor polynomial approximation to a function f of degree n about a point x = a. They also learn to graph convergence of Taylor polynomials. They use Taylor polynomials to approximate function values.

Students graph three functions on the same domain that go through the same three points. They then find the shortest of each of the paths through these points using the CAS of their TI-89 and calculus.

The definite integral is used to find the average value of a function. It will show the steps of the 2nd Fundamental Theorem and also the alternate approach of having the capabilities of the graphing calculator work the entire problem at...

In this activity, students can use the graphing calculator to find the derivative of an implicitly defined function.

In this activity, students can use symbolic algebra and graphing to find the extreme values for a polynomial function.

[Free Registration/Login Required] A basic premise of science is that much of the physical world can be described mathematically and many physical phenomena are predictable. This scientific outlook took place in Europe during the late...