Calculus is the mathematics that describes changes in functions. In this chapter, we review all the functions necessary to study calculus. We define polynomial, rational, trigonometric, exponential, and …

Study calculus online free by downloading volume 1 of OpenStax's college Calculus textbook and using our accompanying online resources.

Study calculus online free by downloading Volume 3 of OpenStax's college Calculus textbook and using our accompanying online resources.

Learning Objectives 1.1.1Use functional notation to evaluate a function. 1.1.2Determine the domain and range of a function. 1.1.3Draw the graph of a function. 1.1.4Find the zeros of a function. …

As we embark on our study of calculus, we shall see how its development arose from common solutions to practical problems in areas such as engineering physics—like the space travel problem posed in …

Explore free calculus resources and textbooks from OpenStax to enhance your understanding and excel in mathematics.

Learning Objectives 1.2.1Calculate the slope of a linear function and interpret its meaning. 1.2.2Recognize the degree of a polynomial. 1.2.3Find the roots of a quadratic polynomial. …

Calculus is the mathematics of change, and rates of change are expressed by derivatives. Thus, one of the most common ways to use calculus is to set up an equation containing an unknown function y = f …

Fundamental Theorem of Calculus Part 1: Integrals and Antiderivatives As mentioned earlier, the Fundamental Theorem of Calculus is an extremely powerful theorem that establishes the relationship …

One common application of calculus is calculating the minimum or maximum value of a function. For example, companies often want to minimize production costs or maximize revenue. In …