Calculus

This lesson conceptually introduces the concept of the derivative, which is one of the central topics in Calculus.

how to use the chain rule of calculus to take derivatives of more complex functions. The chain rule is useful when the problem contains functions that are nested within one another. This is known as a composite function. Several problems are worked to reinforce the proper use of the chain rule.

Exploiting the idea of the derivative, we can approximate just about any function using simple polynomials. This lecture also shows why a formula sometimes known as "God's equation" (involving e, i, p, 1, and 0) is true, and how to calculate square roots in your head.

We begin by discussing what an inverse trigonometric function is, how to take its derivative, and why it is a central topic in Calculus. Next, we solve several practical calculus problems that give students practice with derivatives of inverse trigonometric functions.

Calculus is the mathematics of change, and answers questions such as: How fast is a function growing? This lecture introduces the concepts of limits and derivatives, which allow the slope of a curve to be measured at any point.