Introduction to Derivatives

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Taught by MrA
  • Currently 4.0/5 Stars.
4635 views | 7 ratings
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Lesson Summary:

In this lesson, we learn about derivatives and how they extend the idea of slope from algebra to curves. We are shown how to find the slope of a graph at a single point using the formal definition of a derivative, which involves finding the limit as h approaches 0 of (f(x+h)-f(x))/h. We are given a detailed example of finding a derivative using this definition, as well as a simpler method for finding the derivative of polynomial equations. Finally, we learn about the usefulness of derivatives in determining the slope of a curve at any point and how it relates to the original equation.

Lesson Description:

A quick introduction to derivatives for the student having trouble understanding the concept of a derivative. An explanation of how to find the slope of a graph at a single point, including an explanation of the formal definition of a derivative, a detailed example of finding a derivative using the definition, and what the derivative equation means and is useful for. Finally, a few examples of finding derivatives of polynomials.

Additional Resources:
Questions answered by this video:
  • What is a derivative?
  • How do you take a derivative?
  • What is Calculus?
  • Staff Review

    • Currently 4.0/5 Stars.
    Have you ever just wondered, what is a derivative? Do you want to understand what it means to find a derivative, both practically and conceptually? This video explains concisely what a derivative means to those of you who have very little background of Calculus. It's also a great refresher if you are having trouble at the beginning of your Calculus course. You won't find any resources here, however.
  • obogobo

    • Currently 5.0/5 Stars.
    Awesome! Thanks so much. I actually understand this now!
  • magicsander

    • Currently 5.0/5 Stars.
    I really understand it now =D
  • stupidhick

    • Currently 5.0/5 Stars.
    Good explanation!