### Calculus: The Slope of a Tangent Line

http://www.mindbites.com/lesson/821 for full video. http://www.mindbites.com/series/130 for a bundle of videos on Using Derivatives. For an even broader bundle of videos that cover Using Derivatives and Derivative Basics, check out http://www.mindbites.com/series/131 . To search for topic-specific help in our library of 600+ video products for Calculus, please refer to our Calculus category at: http://www.mindbites.com/category/23-calculus . To check out our full Calculus video course, with 250+ videos included, refer to: http://www.mindbites.com/series/227-calculus . In this lesson, we will review tangent lines, learn how to find the derivative, and learn how to use the derivative once we find it. We begin by finding the slope the tangent line f(x) = 2x^2 at x=3. We find the slope by taking the derivative of f(x). We compute this derivative by evaluating the limit as delta x approaches 0 of [f(x + delta x) - f(x)]/delta x or, in this case, the limit as delta x approaches zero of [2(x+ delta x)^2 - 2x^2]/delta x. Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive Calculus course.

Length:
03:11