### How does it work?

Option 1: Just fill in the form with your homework question, and someone will respond shortly with an answer.

Option 2: Take a photo (or link) of your question, and email or text it to us.

### Like us? ## Paul’s Online Calculus Notes

Calculus is an incredible subject with a variety of applications. Undertstanding the principles of high school mathematics and algebra is essential before beginning a calculus course and nderstanding the graphs and end behaviour of functions is a crucial ingredient for success in calculus. Students are encouraged to understand how to manipulate the graphs of . . . → Read More: Paul’s Online Calculus Notes

## What is Calculus?

Q: What is calculus and what can I use it for?

A: From wikipedia – “Calculus is a discipline in mathematics focused on limits, functions, derivatives, integrals, and infinite series.”

Calculus can be used to solve all types of problems including, but no limited to, the slopes of curves, the area of irregular shapes . . . → Read More: What is Calculus?

## What is a Limit?

Q: What is a limit?

A: From wikipedia – “In mathematics, the concept of a “limit” is used to describe the behavior of a function as its argument or input either “gets close” to some point, or as the argument becomes arbitrarily large”

In other words, a limit is the height a function should . . . → Read More: What is a Limit?

## Evalulating Limits

Q: How do I evaluate limits?

A: The simplest way is to simply substitute the value of x into the function.

Let’s try a few examples of Evaluating Limits by Substitution.

i)

Simply substitute x=1 into the function and evaluate.

So the limit as x approaches 1 is equal to 9. Or . . . → Read More: Evalulating Limits

## What are Derivatives?

Q: What are derivatives?

A: From Wikipedia: “… the derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much a quantity is changing at a given point; for example, the derivative of the position of a vehicle with respect to . . . → Read More: What are Derivatives?