### Calculus: Using Implicit Differentiation

http://www.mindbites.com/series/140 for a bundle of videos on Applying Implicit Differentiation. For an even broader bundle of videos that cover Applying Implicit Differentiation and Implicit Differentiation, check out http://www.mindbites.com/series/141 . 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 . Or, for access to this single video, go to: http://www.mindbites.com/lesson/833 . Here, we will use implicit differentiation (in which you find the dy/dx of things that aren't simple functions). This will include looking at lines tangent to curves of relations (like a circle equation of x^2 + y^2 = 1). Professor Burger will show you how to find the derivative of a relation by differentiating each side of its equation implicitly and solving for the derivative as an unknown. For instance, this is what you would use to differentiate a formula like x^2 + xy + y^2 = 3.75 or for x + x/y - y^3 = 4 + 3/8 to find dy/dx (the derivative of y with respect to x). Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, College Algebra. Edward Burger, Professor of Mathematics at Williams College, earned his Ph.D. at the University of Texas at Austin, having graduated summa cum laude with distinction in mathematics from Connecticut College. He has also taught at UT-Austin and the University of Colorado at Boulder, and he served as a fellow at the University of Waterloo in Canada and at Macquarie University in Australia. Prof. Burger has won many awards, including the 2001 Haimo Award for Distinguished Teaching of Mathematics, the 2004 Chauvenet Prize, and the 2006 Lester R. Ford Award, all from the Mathematical Association of America. In 2006, Reader's Digest named him in the "100 Best of America". Prof. Burger is the author of over 50 articles, videos, and books, including the trade book, Coincidences, Chaos, and All That Math Jazz: Making Light of Weighty Ideas and of the textbook The Heart of Mathematics: An Invitation to Effective Thinking. He also speaks frequently to professional and public audiences, referees professional journals, and publishes articles in leading math journals, including The Journal of Number Theory and American Mathematical Monthly. His areas of specialty include number theory, Diophantine approximation, p-adic analysis, the geometry of numbers, and the theory of continued fractions. Prof. Burger's unique sense of humor and his teaching expertise combine to make him the ideal presenter of Thinkwell's entertaining and informative video lectures.

Length:
04:48