NounWikipedia has an article on: Differentiationdifferentiation (uncountable)
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Related termsFrom Wiktionary under the GNU Free Documentation License. DifferentiationFrom Wikipedia, the free encyclopedia Jump to: navigation, search Look up differentiation in Wiktionary, the free dictionary.Differentiation can mean the following:
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GNU Free Documentation License How to find the minimum of a function through implicit differentiation? Q. Given the equation y^3 + 3x^2y + 13 = 0, how would it be possible to find the minimum y-coordinate of this equation using implicit differentiation? I got that dy/dx = (-2xy)/(y^2 + x^2) but have no clue where to go from there.. Asked by Michael - Thu Sep 24 18:43:17 2009 - - 2 Answers - 0 Comments A. Use implicit differentiation to obtain an expression for dy/dx. A relative extrema (min/max/saddle) of the original function occurs wherever dy/dx = 0; so find the zeros of dy/dx (the values of {x,y} at which dy/dx = 0.) (Cheapest method -- avoid having to compute the 2nd derivative) For each zero of dy/dx, evaluate {y,dy/dx} at a value of x just to the right of the zero, and at a value of x just to the left of the zero. Let L = the value of y just to the left of the zero Let R = the value of y just to the right of the zero Let C = the value of y at the zero. If (C < L) and (C < R), then C is a relative minimum If (C > L) and (C < R), then C is a relative maximum Otherwise, C is a saddle point. Next, compare all the relative minimum… [cont.] Answered by P - Thu Sep 24 18:52:58 2009 How does a computer compute differentiation problems? Q. Whilst creating a Java program I began to question the inbuilt functions that it provides. One however wasn't present. This was differentiation. I began to question how a computer would go about computing differentiation.. any answers? Asked by Matthew H - Sun May 27 14:22:05 2007 - - 3 Answers - 0 Comments A. computing the derivative of a function, whereby the answer is a function, would require some complex inbuilt table for the program to follow and would be very difficult. Getting the computer to approximate the slope of a tangent line at a specific point, however, could be made arbitrarily close approximation by letting the computer take arbitrarily small values of h for [f(x+h)-f(x)]/h. You would get strange results, however, when 'differentiating' at points where the function has no defined derivative. this would require another table to correct, but a smaller one. Answered by idlenessss - Sun May 27 14:33:51 2007 I have a question about implicit differentiation?
Q. I've read a whole bunch of tutorials on implicit differentiation and I still don't get it. There is an example in my book of: 2x^3 + 2y^3 - 9xy = 0 I don't understand why the 2's are differentiated but the 9 is left alone...Why aren't you supposed to take the derivative of the 9 as well? I'm just really confused about implicit differentiation as whole so any help would be great. Thanks! Asked by Brandy - Wed Sep 30 23:21:52 2009 - - 1 Answers - 0 Comments A. 2x^3 + 2y^3 - 9xy = 0 But the 9 is not left alone. It is treated as (9x)*y and then the product rule is applied to it. 6x^2 is obvious 6y^2dy/dx is also obvious I'll save the minus sign for a while d((9x)*y) / dx = 9x * dy/dx + 9y * dx/dx and dx/dx is 1, so this is 9x*dy/dx + 9y Thus the total equation reads 6x^2 + 6y^2 dy/dx - 9x*dy/dx - 9y = 0 Grouping the dy/dx terms to the left hand side of this equation and the others to the right, we get: 6y^2 * dy/dx - 9x*dy/dx = 9y - 6x^2 Factoring we now have: dy/dx * (6y^2 - 9x) = 9y - 6x^2 dy/dx = (9y - 6x^2) / ( 6y^2 - 9x) = [(3y - 2x^2) / (2y^2 - 3x)] ...<<<... Answer . Answered by Gerry - Wed Sep 30 23:41:14 2009 From Yahoo Answer Search: "differentiation"  news.google.com Forbes While the recovery is indeed underway, investors still need to pay attention to two important--and related--themes in the new year: differentiation and ... news.google.com Business Wire (press release) ... the real differentiation has to be focused at the softer, less tangible attributes of the software supplier . . . factors that are not necessarily on a ... and more » news.google.com Business Wire (press release) CAS customers achieve greater sales, profits, and differentiation because they have deeper insight into how their trade promotion funds are spent and are ... and more » From Google News Search: "differentiation"  axordia.com 163px x 327px | 39.10kB [source page] concept work that demonstrates that RNAi can be used to modulate the differentiation of HESCs Lineage specific differentiation of human embryonal carcinoma cells induced by RNAi In the phase contrast images note the distinct morphology of the control treated cells compared with those subjected to Oct4 RNAi Oct4 RNAi causes trophectodermal From Yahoo Image Search: "differentiation"  rhettsmith.com Rhett Smith Sat, 11 Jul 2009 09:00:44 GM discussion of . differentiation. in David Schnarch's book The Passionate Marriage.  lawprofessors.typepad.com JA Hodnicki Fri, 11 Jun 2010 18:00:00 GM This research paper will offer a discourse into product . differentiation. and monopolistic competition in trademarks. While current law and economics model of trademark law argues that trademarks serves to lower consumer search costs, ...  searchfuel.com Cindy Kerber Spellman Fri, 04 Jun 2010 23:04:25 GM This news is disappointing in terms of the opportunities Cashback presents for advertisers and the needed . differentiation. a program like Cashback brings for an engine to be competitive in the marketplace. On the heels of Yahoo's end of ... From Google Blog Search: "differentiation" |
