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## Calculus Tutorials

In this page you will find all the Calculus Tutorials in our site. Do you have any suggestion of topics you would like to see covered? No problem, just send us an e-mail telling us what Calculus topics you would like to see covered Related ...

## What is the Limit of a Sequence?

A sequence \(a_n\) corresponds to infinite array or list of number of the form \ where \(a_1, a_2, a_3, …\) are real numbers. For example, the sequence \ is represented by the list \ because those are the values the expression \(a_n = ...

## The Basic Concept of Derivatives

Imagine you have a function \(f(x)\). For example you could have something like \(f(x) = x^2\) or maybe something like \(f(x) = \sin x\). We define the derivative of the function \(f(x)\) at the point \(x_0\) as \ if the limit exists. Before you ...

## Math Cracks – What is a Derivative, Really?

It seemed important to me to go over the concept of derivative of a function. The process of differentiation (this is, calculating derivatives) is one of the most fundamental operations in Calculus and even in math. In this Math Crack tutorial I ...

## More About Derivatives

On the second part of this tutorial, we’ll work on some other slightly more complicated examples. Example: Given the function \(f(x) = x^3 + 2x+1\), compute the derivative \(f'(x)\) for every every point where it is defined. Solution: Notice ...

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