Thursday, July 19, 2012

Calculus: Second Derivative Test

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www.mindbites.com for a bundle of videos on Graphing Using the Derivative. For an even broader bundle of videos that cover Graphing Using the Derivative and Curve Sketching, check out www.mindbites.com . To search for topic-specific help in our library of 600+ video products for Calculus, please refer to our Calculus category at: www.mindbites.com . To check out our full Calculus video course, with 250+ videos included, refer to: www.mindbites.com . Or, for access to this single video, go to: www.mindbites.com Where the first derivative test is a method used to determine whether critical points are maxima or minima, the second derivative test is used to test concavity for a critical point. If the derivative of a function at a critical point equals zero and the second derivative of that function at that point is positive, you have a minimum (min) and a concave up curve. If the derivative of a function at a critical point equals zero and the second derivative at that same point is negative, you have a maximum (or max) in a curve that is concave down. If the first derivative is zero and the second derivative is zero, the second derivative test is inconclusive - it doesn't mean that the point isn't a max or a min. It just means you need to go back to the first derivative test. Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, Calculus.
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