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# Welcome to the best calculus instruction videos on the internet!

## 1. Precalculus

## 2. Limits and Continuity

## 3. Differentiation

## 4. Applications of Differentiation

## 5. Integration

## 6. Applications of Integration

## 1. Precalculus

### • Composition of Functions

Composition of functions is important to know in order to be able to understand the chain rule for taking derivatives,
which is the hardest and most important rule of differentiation.

Composition of Functions

## 2. Limits and Continuity

### • Old Limit Videos

One day I sat down and recorded some videos on limits. They were not planned out and these 11 videos were the result.
They were the first videos I ever posted to my channel. Watching them will give you a start on how to do limits but
there is much more to learn. I will soon create a much more detailed collection of videos on limits.

Old Limit Videos

## 3. Differentiation

### • The Rules of Differentiation

The process of taking the derivative of a function is one of the most important skills that you need
to learn. These videos guide you through all the rules that you need to know and give many examples for practice.

The Rules of Differentiation

### • The Chain Rule

The chain rule is the hardest rule for taking derivatives. We go over many problems, form easy to intermediate
to hard as well as some other problems to make sure you understand how to use the chain rule.

Chain Rule - Easy Problems

Chain Rule - Intermediate Problems

Chain Rule - Hard Problems

Chain Rule - Extra Problems

### • Derivatives of Parametric Equations

How to find the derivative of a parametrically defined equation.

Derivatives of Parametric Equations

## 4. Applications of Differentiation

### • Related Rates

Here is my collection of videos on related rates. This is one of the most challenging topics in derivatives
since they involve word problems (which students universally hate) and implicit differentiation.
We start with some lectures on how to do related rates and then
solve many problems. The only way to get good at related rate problems is to work through as
many practice problems as possible.

Related Rates

## 5. Integration

## 6. Applications of Integration